Free Printable Finding Derivatives

1.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

2.

Derivative means the same thing as

a)

slope of the tangent line

b)

slope of the normal line

c)

exponent

d)

potato

3.

Differentiate 6x^⅔.

a)

4x^-⅓

b)

4x^-^⅔

c)

6x^⅓

d)

4x^⅓

4.

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

a)

f'(x) = 18x²⁹+ 30x¹⁵ + 12x³

b)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x²

c)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² - 2

d)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² +1

5.

Find the derivative(dy/dx) of the given equation

f(x) = 45

a)

45x

b)

45

c)

0

d)

1

6.

Find $\frac{dy}{dx}$ : $y^2=10x$

a)

$\frac{5}{y}$

b)

$\frac{10}{y}$

c)

$\frac{y^2}{5}$

d)

$\frac{y^2}{10}$

7.

Find the derivative of $x^2+xy+y^3=0$

a)

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

b)

$-\frac{x+3y^2}{2x+y}$

c)

$-\frac{2x+y}{x+3y^2}$

d)

$-\frac{2x}{x+3y^2}$

8.

Differentiate the following with respect to x:

$f\left(x\right)=\left(x-1\right)\left(2x+3\right)$

a)

$2x^2+x-3$

b)

$4x+1$

c)

$2$

d)

$0$

9.

Find $\frac{dy}{dx}$ of the following function:

$y=6x^2+2x+2$

a)

$12x+2$

b)

$2x^3+x^2+2x$

c)

$2$

d)

$12x$

10.

If y = (2x² + 3x)⁴, what is $\frac{\text{dy}}{\text{d}x}$ using the chain rule?

a)

4(2x² + 3x)³(2x - 3)

b)

4(2x² + 3x)³(4x + 3)

c)

4(2x² + 3x)³(2x + 3)

d)

4(2x² + 3x)³(4x - 3)

Finding Derivatives

Total questions: 10

Worksheet time: 7mins

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