Free Printable Pembezaan (Petua Hasil Darab & Bahagi)

1.

Bezakan $y=\frac{3}{\left(2x-4\right)^5}$

a)

$\frac{-30}{\left(2x-4\right)^6}$

b)

$\frac{15}{\left(2x-4\right)^{-6}}$

c)

$\frac{-30}{\left(2x-4\right)^{-6}}$

d)

$\frac{-15}{\left(2x-4\right)^6}$

2.

$y=\left(2x-3\right)^9$

a)

$\frac{dy}{dx}=36\left(2x-3_{ }\right)^9$

b)

$\frac{dy}{dx}=18\left(2x-3_{ }\right)^9$

3.

$y=\left(2x-3\right)^{-9}$

a)

$\frac{dy}{dx}=\frac{-18}{\left(2x-3\right)^8}$

b)

$\frac{dy}{dx}=\frac{-18}{\left(2x-3\right)^{10}}$

4.

$y=\sqrt{\left(2x-3\right)}$

a)

$\frac{dy}{dx}=\frac{-1}{\sqrt{\left(2x-3\right)}}$

b)

$\frac{dy}{dx}=\frac{1}{\sqrt{2x-3}}$

5.

Cari pembezaan bagi $f(x)=7(3x+4)^5$

a)

$35(3x+4)^5$

b)

$35(3x+4)^4$

c)

$105(3x+4)^5$

d)

$105(3x+4)^4$

6.

Cari pembezaan bagi:
$f(x)=(x^2+1)^6$

a)

$12x(x^2+1)^7$

b)

$12x(x^2+1)^6$

c)

$12x(x^2+1)^5$

d)

$12(x^2+1)^5$

7.

Diberi $f(x)=2(1-5x)⁻⁴$ , cari $f'(x)$ .

a)

$40(1-5x)⁻⁵$

b)

$-8(1-5x)⁻³$

c)

$-8(1-5x)⁻⁵$

d)

$40(1-5x)⁻³$

8.

Diberi $y=\frac{3x}{\left(2x-4\right)^3}$ , cari $\frac{\text{d}y}{\text{d}x}$

a)

$\frac{\text{d}y}{\text{d}x}=\frac{3\left(2x-4\right)^3-18x\left(2x-4\right)^2}{\left(2x-4\right)^6}$

b)

$\frac{\text{d}y}{\text{d}x}=3\left(2x-4\right)^3-18x\left(2x-4\right)^2$

c)

$\frac{\text{d}y}{\text{d}x}=\frac{3x\left(2x-4\right)^3-6x\left(2x-4\right)^2}{\left(2x-4\right)^3}$

d)

$\frac{\text{d}y}{\text{d}x}=3\left(2x-4\right)^3-6x\left(2x-4\right)^2$

Pembezaan (Petua Hasil Darab & Bahagi)

Total questions: 8

Worksheet time: 40mins

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