Free Printable differentiation

1.

What is the derivative of xⁿ?

a)

(n-1)xⁿ

b)

nxⁿ⁺¹

c)

(n+1)x^n-1

d)

nx^n-1

2.

Derivative means the same thing as

a)

slope of the tangent line

b)

slope of the normal line

c)

exponent

d)

potato

3.

a)

3x²

b)

x³

c)

6x

d)

3x² + x³

4.

Find the slope of f(x) = 2x²+3.

a)

4x

b)

4x²

c)

3

d)

2x²+3

5.

Find the derivative of:
f(x) = 7(3x+ 4)⁵

a)

35(3x + 4)⁵

b)

35(3x + 4)⁴

c)

105(3x + 4)⁵

d)

105(3x + 4)⁴

6.

What rule should be used in deriving h(x) = 2(x - 4)³

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

General Power Rule

7.

What is the derivative of y = 2π?

a)

0

b)

2

c)

-2

d)

None of the above

8.

What rule should be used in deriving h(x) = 2(x - 4)³

a)

Power rule

b)

Product rule

c)

Quotient rule

d)

General Power Rule

9.

How much do you love mathematics ?

a)

suka sangat2

b)

mathematics? Yang ada nombor tu kan

c)

#siscuba

d)

biasa2 je

10.

What rule should be used in deriving f(x) = x⁵

a)

Constant rule

b)

Sum rule

c)

Power rule

d)

Difference rule

11.

Choose the best rule to derive the function.

a)

Product rule

b)

Quotient rule

c)

Power rule

d)

Chain rule

12.

Let f(x) = (x - 1)(x + 2). Find f'(0)

a)

0

b)

1

c)

2

d)

3

13.

Given f(x) = ax² + 2bx. What are a and b if f'(x) = 8x + 6?

a)

a = 2 and b = 3

b)

a = 3 and b = 2

c)

a = 3 and b = 4

d)

a = 4 and b = 3

14.

At what point will the slope of y = -x² + 4 is zero?

a)

(0, 4)

b)

(1, 4)

c)

(4, 0)

d)

(1, 0)

15.

What is the 2nd derivative of y = 2x³ - 4x + 6

a)

6x²- 4

b)

12x - 4

c)

12x

d)

6x

16.

Find the derivative of

a)

sinx

b)

-sinx

c)

-cscx cotx

d)

sec²x

17.

Find the derivative of $y=4^{3-2x}$ .

a)

$4^{3-2x}\left(-2\right)\left(\ln4\right)$

b)

$4^{3-2x}\left(2\right)\left(\ln4\right)$

c)

$4^{-3-2x}\left(-2\right)\left(\ln4\right)$

d)

$4^{3+2x}\left(-2\right)\left(\ln4\right)$

18.

Find $\frac{dy}{dx}$ for $y=\frac{3x+2^{ }}{2x+1}$ by using quotient rule.

a)

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

b)

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

c)

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

d)

$2x+1$

differentiation

Total questions: 18

Worksheet time: 18mins

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