Quiz about Miss takdak, kerja still ada

Question 1

Which of the following function required you to use product rule?

Accepted Answer

$$f\left(x\right)=e^x\left(5x+1\right)$$

Answer

$$f\left(x\right)=ex$$

Answer

$$f\left(x\right)=\left(5-x\right)^2\cos\left(2\pi\right)$$

Answer

$$f\left(x\right)=24x^2-\frac{5}{x}+20$$

Question 2

Differentiate $$y=5^{-2x}$$

Accepted Answer

$$\frac{ ext{d}y}{ ext{d}x}=-2\left(5^{-2x}\ \ln5 ight)$$

Answer

$$\frac{dy}{dx}=-2\left(5^{-2x}\right)$$

Answer

$$\frac{dy}{dx}=-10^{-2x}\ \ln5$$

Answer

$$\frac{dy}{dx}=-10^{-2x}$$

Question 3

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

Accepted Answer

$$f$$

Question 4

Given that $$f\left(x\right)=\ln\left(2x\right)$$ , what is its second derivative?

Accepted Answer

$$-\frac{1}{x^2}$$

Answer

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

Answer

$$\frac{1}{x^2}$$

Answer

$$\frac{1}{2x}$$

Question 5

If $$f\left(x\right)=\sin\sqrt[]{5x}$$ , which of the following is another way to write the equation?

Accepted Answer

$$f\left(x\right)=\sin\left(5x\right)^{\frac{1}{2}}$$

Answer

$$f\left(x\right)=\sin^{\frac{1}{2}}\left(5x\right)$$

Answer

$$f\left(x\right)=\sin5x^{\frac{1}{2}}$$

Answer

$$f\left(x\right)=\frac{1}{2}\sin\left(5x\right)$$

Question 6

Which of the following statements is FALSE?

Accepted Answer

$$\frac{dy}{dx}$$ at a point will give you gradient of normal.

Answer

Stationary point is when $$\frac{dy}{dx}=0$$ .

Answer

$$\frac{dy}{dx}$$ at a point will give you gradient of tangent.

Answer

If $$m_t=\frac{4}{3}$$ , then $$m_n=-\frac{3}{4}$$ .

Question 7

Differentiate $$y=\frac{3\pi}{\left(2-x\right)^3}$$ .

Accepted Answer

$$\frac{dy}{dx}=9\pi\left(2-x\right)^{-4}$$

Answer

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

Answer

$$\frac{dy}{dx}=-9\pi\left(2-x\right)^{-4}$$

Answer

$$\frac{dy}{dx}=-\pi\left(2-x\right)^{-4}$$

Question 8

If $$f$$ , what is the value of x when $$f$$ ?

Accepted Answer

x=2

Accepted Answer

x=-2

Answer

x=4

Answer

x=0

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