Free Printable You DeRIVE Me Crazy

1.

What is the derivative of $\frac{\text{d}}{\text{d}x}\left(x\right)$ ?

a)

0

b)

1

c)

0/1

d)

undefined

2.

What is

\frac{\text{d}}{\text{d}x}\left[2x^2\right]

?

a)

2x

b)

4x

c)

$4x^2$

d)

$2x^3$

3.

Differentiate with respect to x.

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

a)

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

b)

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

c)

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

d)

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

4.

$\frac{\text{d}}{\text{d}x}\left[\csc x\right]$ =?

a)

-csc x tan x

b)

-csc x cot x

c)

csc x tan x

d)

csc x cot x

5.

$\frac{\text{d}}{\text{d}x}\left[\sec^2\theta\ -\ \tan^2\theta\right]$

Calculate the derivative of

(a)

6.

Calculate the derivative of

\frac{\text{d}}{\text{d}x}\left[e^x+e^{-x}\right]

.

a)

$e^x-\ e^{-x}$

b)

$e^{-x}-\ e^x$

c)

$e^x+e^{-x}$

d)

$e^{-x}+\ e^{-x}$

7.

Differentiate with respect to x.

\ln\ \left(x^2\right)

a)

2x

b)

$2\left(\frac{1}{x}\right)$

c)

$\frac{2}{x}$

d)

$2x^2$

8.

Differentiate with respect to x.

\frac{\text{d}}{\text{d}x}\left[\ln\left(3x+1\right)\right]

a)

$\frac{3}{3x+1}$

b)

$\frac{3x+1}{3}$

c)

$3x+1$

d)

$\frac{1}{3x+1}$

9.

Differentiate with respect to x.

\frac{\text{d}}{\text{d}x}\left[\frac{\sin\ x}{x}\right]

a)

$\frac{\sin\ x}{x}-\ \frac{\cos\ x}{x^2}$

b)

$\frac{x\cos\ x\ -\ \sin\ x}{x^2}$

10.

Differentiate with respect to x.

\frac{\text{d}}{\text{d}x}\left[\tan\ \left(x^2\right)\right]

a)

$2x\ \sec\ x^2$

b)

$2x\sec^2\left(x^2\right)$

You DeRIVE Me Crazy

Total questions: 10

Worksheet time: 7mins

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