Free Printable Quiz 1 -Introduction to Differentiation

1.

What is the process of finding the derivative of a function called?

a)

Differentiation

b)

Integration

c)

Multiplication

d)

Factorization

2.

Which of the following is a notation for the derivative of y with respect to x?

a)

A) $\frac{dy}{dx}$

b)

B) $\int y dx$

c)

C) $y^2$

d)

D) $y'\left(x\right)$

3.

If f(x) = 2, find the derivative f'(x).

a)

f'(x) = 0

b)

f'(x) = 2

c)

f'(x) = x

d)

f'(x) = 1

4.

Given f(x) = 2x³, find the derivative f'(x).

a)

$f'(x) = 6x^2$

b)

$f'(x) = 3x^2$

c)

$f'(x) = 2x^2$

d)

$f'(x) = 4x^3$

5.

If f(x) = 3x^-10 , find the derivative f'(x).

a)

$f'(x) = -30x^{-11}$

b)

$f'(x) = 30x^{-9}$

c)

$f'(x) = -10x^{-9}$

d)

$f'(x) = 3x^{-11}$

6.

What is the derivative of sin(2x) with respect to x?

a)

2cos(2x)

b)

2 sin(2x)

c)

cos(2x)

d)

2 tan(2x)

7.

What is the derivative of cos(3x) with respect to x?

a)

-3 sin(3x)

b)

3 sin(3x)

c)

3 cos(3x)

d)

-3 cos(3x)

8.

What is the derivative of y = e^3x with respect to x?

a)

$e^{3x}$

b)

$3e^{3x}$

c)

$9e^{3x}$

d)

$e^{6x}$

9.

What is the derivative of y = ln(3x) with respect to x?

a)

1/x

b)

3/x

c)

1/(3x)

d)

3

10.

Differentiate the following function: $f(x)=x^3-2x$

a)

$f'(x) = 3x^2 - 2$

b)

$f'(x) = 2x^3 - 2x$

c)

$f'(x) = 3x^2 - 2x$

d)

$f'(x) = x^2 - 2$

11.

Differentiate the following function: $f(x)=\ln(x)-2\cos(x)$

a)

f'(x) = 1/x + 2sin(x)

b)

f'(x) = 1/x - 2sin(x)

c)

f'(x) = 1/x + 2cos(x)

d)

f'(x) = 1/x - 2cos(x)

Quiz 1 -Introduction to Differentiation

Total questions: 11

Worksheet time: 6mins

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