Tentukan Turunan pertama dari fungsi f ( x ) = 2 x f(x)=\ \frac{2}{\sqrt{x}} f ( x ) = x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2 !

− 1 x x -\frac{1}{x\sqrt{x}} − x x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

1 x x \frac{1}{x\sqrt{x}} x x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

2 x x \frac{2}{x\sqrt{x}} x x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

− 2 x x -\frac{2}{x\sqrt{x}} − x x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

− 1 x -\frac{1}{\sqrt{x}} − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

f ( x ) = 4 3 x − 1 f\left(x\right)=4\sqrt{3x-1} f ( x ) = 4 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> , maka f ′ ( x ) = . . . . f'\left(x\right)=.... f ′ ( x ) = . . . .

6 3 x − 1 \frac{6}{\sqrt{3x-1}} 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 6

2 3 x − 1 \frac{2}{\sqrt{3x-1}} 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

4 3 x − 1 \frac{4}{\sqrt{3x-1}} 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 4

9 3 x − 1 \frac{9}{\sqrt{3x-1}} 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 9

12 3 x − 1 \frac{12}{\sqrt{3x-1}} 3 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1 2

Aturan Rantai Turunan Fungsi Aljabar

Authored by Vica Sinolungan

Mathematics

11th Grade

10 Questions

Used 43+ times

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MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Turunan dari $\left(3x^2+5\right)^4$ adalah ....

$12\left(3x^2+5\right)^3$

$24x\left(3x^2+5\right)^3$

$12x\left(3x^2+5\right)^3$

$24\left(3x^2+5\right)^3$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan dari $h\left(x\right)=\sqrt{x^3}$ adalah . . . .

$h'\left(x\right)=\frac{3}{2}\sqrt{x}$

$h'\left(x\right)=\frac{1}{3}\sqrt{x^3}$

$h'\left(x\right)=\frac{1}{2}\sqrt{x^3}$

$h'\left(x\right)=\frac{2}{3}\sqrt{x}$

$h'\left(x\right)=3\sqrt{x}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan dari fungsi $h\left(x\right)=9.\ ^4\sqrt{x}$ adalah . . .

$h'\left(x\right)=\frac{9}{4.\ ^4\sqrt{x^3}}$

$h'\left(x\right)=\frac{9}{4.\ ^4\sqrt{x^5}}$

$h'\left(x\right)=\frac{1}{36.\ ^4\sqrt{x^3}}$

$h'\left(x\right)=36.\ ^3\sqrt{x}$

$h'\left(x\right)=9.\ ^4\sqrt{x^3}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Turunan pertama dari $f\left(x\right)=\left(3x^2-7\right)^4\$ adalah....

$6x\left(3x^2-7\right)^3$

$36x\left(3x^2-7\right)^3$

$12x\left(3x^2-7\right)^3$

$24x\left(3x^2-7\right)^3$

$48x\left(3x^2-7\right)^3$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Jika $f\left(x\right)=\sqrt{x^2+4x-7}$ , maka $f'\left(x\right)$ adalah ....

$\frac{1}{2\sqrt{x^2+4x-7}}$

$\frac{x+2}{\sqrt{x^2+4x-7}}$

$\frac{2x+4}{\sqrt{x^2+4x-7}}$

$\left(2x+4\right)\sqrt{x^2+4x-7}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tentukan Turunan pertama dari fungsi $f(x)=\ \frac{2}{\sqrt{x}}$ !

$\frac{1}{x\sqrt{x}}$

$\frac{2}{x\sqrt{x}}$

$-\frac{1}{x\sqrt{x}}$

$-\frac{2}{x\sqrt{x}}$

$-\frac{1}{\sqrt{x}}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Diketahui f(x) = $\sqrt{4x^2\ +9}$ ,

Jika f ’(x) adalah turunan pertama dari f(x), maka nilai f ’(2) = ….

0,1

1,6

2,5

5,0

7,0

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$g\left(x\right)=\left(2x^3+4x\right)^7$
Tentukan turunan dari fungsi di atas!

$7\left(2x^3+4x\right)^6$

$\left(6x^2+4\right)\left(2x^3+4x\right)^6$

$\left(42x^2+28\right)\left(2x^3+4x\right)^6$

$\left(42x^2+28\right)\left(2x^3+4x\right)^7$

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Turunan pertama dari $f\left(x\right)=\left(2x^2+x+1\right)^5$ adalah ....

$\left(2x^2+x+1\right)^4$

$5x\left(2x^2+x+1\right)^4$

$\left(20x+1\right)\left(2x^2+x+1\right)^4$

$\left(4x+1\right)\left(2x^2+x+1\right)^4$

$\left(20x+5\right)\left(2x^2+x+1\right)^4$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$f\left(x\right)=4\sqrt{3x-1}$ , maka $f'\left(x\right)=....$

$\frac{2}{\sqrt{3x-1}}$

$\frac{4}{\sqrt{3x-1}}$

$\frac{6}{\sqrt{3x-1}}$

$\frac{9}{\sqrt{3x-1}}$

$\frac{12}{\sqrt{3x-1}}$

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Aturan Rantai Turunan Fungsi Aljabar

Turunan dari (3x2+5)4\left(3x^2+5\right)^4(3x2+5)4 adalah ....

Turunan dari h(x)=x3h\left(x\right)=\sqrt{x^3}h(x)=x3​ adalah . . . .

Turunan dari fungsi h(x)=9. 4xh\left(x\right)=9.\ ^4\sqrt{x}h(x)=9. 4x​ adalah . . .

Turunan pertama dari f(x)=(3x2−7)4 f\left(x\right)=\left(3x^2-7\right)^4\ f(x)=(3x2−7)4 adalah....

Jika f(x)=x2+4x−7f\left(x\right)=\sqrt{x^2+4x-7}f(x)=x2+4x−7​ , maka f′(x)f'\left(x\right)f′(x) adalah ....

Tentukan Turunan pertama dari fungsi f(x)= 2xf(x)=\ \frac{2}{\sqrt{x}}f(x)= x​2​ !

Diketahui f(x) = 4x2 +9\sqrt{4x^2\ +9}4x2 +9​ , Jika f ’(x) adalah turunan pertama dari f(x), maka nilai f ’(2) = ….

g(x)=(2x3+4x)7g\left(x\right)=\left(2x^3+4x\right)^7g(x)=(2x3+4x)7 Tentukan turunan dari fungsi di atas!

Turunan pertama dari f(x)=(2x2+x+1)5f\left(x\right)=\left(2x^2+x+1\right)^5f(x)=(2x2+x+1)5 adalah ....

f(x)=43x−1f\left(x\right)=4\sqrt{3x-1}f(x)=43x−1​ , maka f′(x)=....f'\left(x\right)=....f′(x)=....

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Discover more resources for Mathematics

Turunan dari $\left(3x^2+5\right)^4$ adalah ....

Turunan dari $h\left(x\right)=\sqrt{x^3}$ adalah . . . .

Turunan dari fungsi $h\left(x\right)=9.\ ^4\sqrt{x}$ adalah . . .

Turunan pertama dari $f\left(x\right)=\left(3x^2-7\right)^4\$ adalah....

Jika $f\left(x\right)=\sqrt{x^2+4x-7}$ , maka $f'\left(x\right)$ adalah ....

Tentukan Turunan pertama dari fungsi $f(x)=\ \frac{2}{\sqrt{x}}$ !

Diketahui f(x) = $\sqrt{4x^2\ +9}$ ,

Jika f ’(x) adalah turunan pertama dari f(x), maka nilai f ’(2) = ….

$g\left(x\right)=\left(2x^3+4x\right)^7$
Tentukan turunan dari fungsi di atas!

Turunan pertama dari $f\left(x\right)=\left(2x^2+x+1\right)^5$ adalah ....

$f\left(x\right)=4\sqrt{3x-1}$ , maka $f'\left(x\right)=....$