Turunan Fungsi Aljabar

Turunan Fungsi Aljabar

By Yohannes 21003

Multiple Choice

Jika $$f\left(x\right)=3$$  maka  $$f'\left(x\right)=...$$  

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Multiple Choice

Turunan pertama  $$f\left(x\right)=x^{-2}$$  adalah ...

• $$f'\left(x\right)=2x^3$$  

• $$f'\left(x\right)=-2x^{-1}$$  

• $$f'\left(x\right)=-2x^{-3}$$  

• $$f'\left(x\right)=2x^{-3}$$  

Draw

$$g\left(x\right)=3x^{-8}$$  turunan pertamanya adalah ....

Multiple Choice

Turunan pertama fungsi $$f\left(x\right)=\sqrt{x}=x^{\frac{1}{2}}$$  adalah ...

• $$f'\left(x\right)=\frac{1}{2}x^{-\frac{1}{2}}=\frac{1}{2\sqrt{x}}$$  

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

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

Multiple Choice

$$k\left(x\right)=\frac{2}{x^4}$$  ini turunan nya apa?

• $$k\ '\ \left(x\right)=-\frac{8}{x^5}$$  

• $$k\ '\ \left(x\right)=-8x^5$$  

• $$k\ '\ \left(x\right)=\frac{8}{x^5}$$  

• $$k\ '\ \left(x\right)=-\frac{3}{x^5}$$  

• $$k\ '\ \left(x\right)=-\frac{5}{x^5}$$  

Open Ended

Jika diketahui  $$f\left(x\right)$$  = $$\frac{5}{\sqrt{x}}$$  maka  $$f'\left(x\right)$$  adalah ...

Multiple Choice

Nilai turunan pertama dari $$f\left(x\right)=\ \frac{3}{x\sqrt{x}}$$  adalah....

• $$\frac{9}{2x^2\sqrt{x}}$$  

• $$-\frac{9}{2x^2\sqrt{x}}$$  

• $$\frac{8}{2x^2\sqrt{x}}$$  

• $$-\frac{8}{2x^2\sqrt{x}}$$  

• $$\frac{9}{2x\sqrt{x}}$$  

Multiple Choice

Jika  $$f\left(x\right)=-5x$$ , maka  $$f'\left(x\right)=...$$  

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Multiple Choice

Nilai dari $$x^4\ +\ 2x^3\ -\ 7x^2\ -8$$   adalah....

• $$4x^4+6x^2-14x-8$$  

• $$4x^3-6x^2-14x-8$$  

• $$4x^3+6x^2-14x$$  

• $$5x^4+6x^2+14x$$  

• $$x^4-2x^2-14x$$  

Multiple Choice

Turunan pertama dari $$\ f\left(x\right)\ =\ \frac{1}{2}x^4+\frac{2}{3}x^3-4x\ +1\$$ adalah f ’(x) = .…

• $$x^3+x^2–2$$  

• $$x^3+2x^2–4$$  

• $$2x^3+2x^2–4$$  

• $$2x^3+2x^2–4x$$  

• $$2x^3+2x^2–4x+1$$  

Multiple Choice

Apabila $$f\left(x\right)=x^2-\frac{1}{x}+1$$  , maka  $$f'\left(x\right)$$  adalah..

• $$x-x^2$$  

• $$x+x^2$$  

• $$2x+x^2+1$$  

• $$2x-x^2+1$$  

• $$2x+x^2$$  

Multiple Choice

Tentukan Turunan pertama dari $$f(x)=\frac{1}{x^2}+\ 3x^2-\frac{5}{x^3}$$    !

• $$-\frac{2}{x^3}-6x\ -\frac{15}{x^4}$$  

• $$-\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$  

• $$-\frac{2}{x^3}-6x\ +\frac{15}{x^4}$$  

• $$\frac{2}{x^3}+6x\ +\frac{15}{x^4}$$  

Multiple Choice

Jika $$g\left(x\right)=\ \frac{1}{x}+x^2-\sqrt{2x}$$  maka  $$g'\left(x\right)$$  adalah..

• $$-\frac{1}{x^2}+3x^2-\frac{1}{\sqrt{2x}}$$  

• $$\frac{1}{x^2}+x^2-2$$  

• $$-x^3+3x^2+\frac{1}{2}\sqrt{2x}$$  

• $$\frac{1}{x^2}+3x^2-2$$  

• $$\frac{1}{x^2}+3x^2+\frac{1}{2}\sqrt{2x}$$  

Multiple Choice

Turunan pertama dari $$f\left(x\right)=\frac{6x^2\ +\ 2x\ -4}{2x^3}$$  adalah....

• $$\frac{-3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}$$  

• $$\frac{3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}$$  

• $$\frac{-3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}$$  

• $$\frac{-3}{x^2}-\frac{2}{x^3}-\frac{6}{x^4}$$  

• $$\frac{3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}$$  

Multiple Choice

turunin yuk $$h\left(t\right)=t^{\frac{1}{3}}-3t$$  

• $$h\ '\ \left(t\right)=\frac{1}{3}t^{-\frac{2}{3}}-3\$$  

• $$h\ '\ \left(t\right)=\frac{1}{3}t^{-\frac{2}{3}}$$  

• $$h\ '\ \left(t\right)=-3\$$  

• $$h\ '\ \left(t\right)=\frac{1}{3}t^{ }-3\$$  

• $$gatau\ ah\ >\sim<$$  

Multiple Choice

Turunan pertama dari $$y=\left(x^2-1\right)\left(x^3+3\right)$$  adalah ....

• $$x^5-x^3+3x^2-3$$  

• $$5x^4+3x^2+6x$$  

• $$5x^4-3x^2+6x$$  

• $$5x^4-3x^2-6x$$  

• $$x^4-x^2+x$$  

Multiple Choice

Turunan pertama untuk fungsi $$f\left(x\right)=\left(2x+1\right)\left(x^2+3x\right)$$ adalah ... 

• $$f'\left(x\right)=6x^2+14x+3$$  

• $$f'\left(x\right)=3x^2+14x+3$$  

• $$f'\left(x\right)=6x^2+9x+3$$  

• $$f'\left(x\right)=6x^2+14x-3$$  

• $$f'\left(x\right)=6x^2-14x+3$$  

Multiple Choice

Turunan fungsi $$f\left(x\right)=\frac{2x+1}{x-4}$$  

• $$\frac{-7}{\left(x-4\right)^2}$$  

• $$\frac{7}{\left(x-4\right)^2}$$  

• $$\frac{-9}{\left(x-4\right)^2}$$  

• $$\frac{9}{\left(x-4\right)^2}$$  

• $$\frac{-10}{\left(x-4\right)^2}$$  

Multiple Choice

Turunan dari $$f\left(x\right)=\frac{2x-1}{4x+3},x\ne\frac{3}{4}$$  adalah ....

• $$f'\left(x\right)=\frac{-10}{\left(4x+3\right)^2}$$  

• $$f'\left(x\right)=\frac{-5}{\left(4x+3\right)^2}$$  

• $$f'\left(x\right)=\frac{2}{\left(4x+3\right)^2}$$  

• $$f'\left(x\right)=\frac{5}{\left(4x+3\right)^2}$$  

• $$f'\left(x\right)=\frac{10}{\left(4x+3\right)^2}$$  

Multiple Choice

Turunan pertama dari $$f\left(x\right)=\frac{x^2-3}{5x+2}$$  adalah  $$f'\left(x\right)$$ . Nilai dari  $$f'\left(0\right)=....$$   

• $$-\frac{17}{4}$$  

• $$-\frac{15}{4}$$  

• $$\frac{6}{4}$$  

• $$\frac{15}{4}$$  

• $$\frac{17}{4}$$  

Multiple Choice

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

Turunan dari fungsi $$f\left(x\right)=\left(2x^6+4x^2\right)^5$$ adalah  $$f'\left(x\right)=...$$  

• $$5\left(2x^6+4x^2\right)^4.\left(12x^5+8x\right)$$  

• $$5\left(2x^6+4x^2\right)^4$$  

• $$5\left(2x^6+4x^2\right)^4\left(12x\right)$$  

Multiple Choice

Turunan pertama fungsi $$f\left(x\right)=\left(x^2+3x-5\right)^2$$  adalah ...

• $$f'\left(x\right)=\left(4x+6\right)\left(x^2+3x-5\right)$$

• $$f'\left(x\right)=\left(2x+3\right)\left(x^2+3x-5\right)$$  

• $$f'\left(x\right)=x^2+3x-5$$  

• $$\left(4x+3\right)\left(x^2+3x-5\right)$$  

Multiple Choice

Nilai turunan pertama dari $$f\left(x\right)=\ \sqrt{2x+4}$$  adalah....

• $$\frac{1}{\sqrt{2x+4}}$$  

• $$\frac{2}{\sqrt{2x+4}}$$  

• $$\frac{-1}{\sqrt{2x+4}}$$  

• $$\frac{-2}{\sqrt{2x+4}}$$  

• $$\frac{3}{\sqrt{2x+4}}$$  

Multiple Choice

Turunan fungsi $$\sqrt{2x^5-6x+1}$$  adalah....

• $$\frac{10x^4-6}{\sqrt{2x^5-6x+1}}$$  

• $$\left(10x^4-6\right)\sqrt{2x^5-6x+1}$$  

• $$(10x^4–6)\ \left(2x^5+6x\ +1\right)^{\frac{3}{2}}$$  

• $$\frac{5x^4-3}{\sqrt{2x^5-6x+1}}$$  

• $$\frac{1}{\sqrt{10x^4-6}}$$