Free Printable derivative of exponential and logarithm

1.

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

a)

$e^{2x}$

b)

$2e^x$

c)

$2^{e^{2x}}$

d)

$2e^{2x}$

2.

What is the derivative of tan(x)?

a)

-sec²(x)

b)

-csc²(x)

c)

sec²(x)

d)

csc²(x)

3.

If $y=e^{-2x^3}$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$-2x^3e^{-2x^3}$

b)

$e^{-2x^3}$

c)

$-6x^2e^{-2x^3}$

d)

$e^{-6x^2}$

e)

$-6x^2e^{-6x^2}$

4.

$\frac{d}{dx}\ln\left(x^3\right)$

a)

$\ln\left(x^3\right)$

b)

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

c)

$\frac{3}{x^{ }}$

d)

$3x$

5.

$\frac{d}{dx}\ln\left(x^2+2\right)$

a)

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

b)

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

c)

$\frac{2x}{x+2}$

d)

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

6.

If $y=e^{-2x^3}$ , then $\frac{\text{d}y}{\text{d}x}=$

a)

$-2x^3e^{-2x^3}$

b)

$e^{-2x^3}$

c)

$-6x^2e^{-2x^3}$

d)

$e^{-6x^2}$

e)

$-6x^2e^{-6x^2}$

7.

ln e⁵=

a)

e⁵

b)

ln 5

c)

5

d)

5e

8.

What is the derivative of xⁿ?

a)

(n-1)xⁿ

b)

nxⁿ⁺¹

c)

(n+1)x^n-1

d)

nx^n-1

9.

Convert log(x)=5 to exponential form

a)

1⁵=x

b)

10^x=5

c)

x⁵=10

d)

10⁵=x

10.

Find the derivative:

y=e^5x+ln(x)

a)

e^5+1/x

b)

e^5x+ln(x)

c)

(5+1/x) e^5x+ln(x)

d)

(5/x) e^5x+ln(x)

derivative of exponential and logarithm

Total questions: 10

Worksheet time: 10mins

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