Free Printable Differentiation QUIZ 1

1.

Differentiate f(x) = x³.

a)

x^4

b)

3x^3

c)

3x^2

d)

6x

2.

Find the derivative of the given equation
f(x) = 7

a)

7

b)

0

c)

7x

d)

14

3.

Differentiate y= 5x^-4

a)

-5x^-5

b)

-20x^-4

c)

-25x^-5

d)

-20x^-5

4.

Differentiate $y=2x^{\frac{4}{3}}$

a)

$2x^{\frac{1}{3}}$

b)

$\frac{8}{3}x^{\frac{1}{3}}$

c)

$\frac{8}{3}x^{\frac{4}{3}}$

d)

$2x^{\frac{4}{3}}$

5.

Derive y=3x²-4x+2

a)

6x-6

b)

6x-2

c)

4-6x

d)

6x-4

6.

Find the derivative of the given equation

f(x) = 1/x²

a)

1/2x

b)

-2x

c)

2x

d)

-2x^-3

7.

Find the derivative of:

f(x) = 2(3x+ 4)⁵

a)

3(3x + 4)⁴

b)

10(3x + 4)⁴

c)

15(3x + 4)⁴

d)

30(3x + 4)⁴

8.

Differentiate with respect to x...

a)

4x - 5

b)

4x - 3

c)

2x - 5

d)

2x - 3

9.

The derivative of sin(2x)

a)

2cos(x)

b)

2sin(2x)

c)

2cos(2x)

d)

2xcos(2x)

10.

Find dy/dx for y =e^6x

a)

$e^{6x}$

b)

$6e^{6x}$

c)

$36e^{6x}$

d)

$6e^{6x-1}$

11.

Find dy/dx of y= ln (6x+1)

a)

ln 6x

b)

1/x

c)

1/6x

d)

$\frac{6}{6x+1}$

12.

The derivative of xcos(2x²)

a)

cos(2x²) - 4x²sin(2x²)

b)

sin(2x²) - 4x²cos(2x²)

c)

cos(2x²) + 4x²sin(2x²)

d)

cos(2x²) - 2x²cos(2x²)

13.

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

a)

$\frac{4x}{\left(x+1\right)^2}$

b)

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

c)

$\frac{2x^2+4x}{\left(x+1\right)^2}$

d)

$\frac{-2x^2-4x}{\left(x+1\right)^2}$

Differentiation QUIZ 1

Total questions: 13

Worksheet time: 43mins

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