Free Printable Application of Differentiation

1.

All the equations was TRUE accept...

a)

$\frac{\text{d}y}{\text{d}x}=\frac{\text{d}y}{\text{d}t}\times\frac{\text{d}t}{\text{d}x}$

b)

$\frac{\text{d}V}{\text{d}t}=\frac{\text{d}V}{\text{d}x}\times\frac{\text{d}x}{\text{d}t}$

c)

$\frac{\text{d}A}{\text{d}x}=\frac{\text{d}x}{\text{d}A}\times\frac{\text{d}A}{\text{d}t}$

d)

$\frac{\text{dA}}{\text{d}t}=\frac{\text{d}A}{\text{d}x}\times\frac{\text{d}x}{\text{d}t}$

2.

ln an electrical circuit, the resistance $R=\frac{10}{I}$ where $I$ is the current flowing in the circuit. If $I$ is increasing at 0.05 units per second, what is the rate of change of R when $R=5$ units?

a)

$-0.125$ units per second

b)

$-0.02$ units per second

c)

$-0.5$ units per second

d)

$-0.25$ units per second

3.

A rectangle whose sides 2x and x respectively changing at the rate of 0.5cm/s. Find the rate of change of its area when x= 2cm

a)

5

b)

4

c)

6

d)

3

4.

Inflection point is a nature for stationary point when...

a)

$\frac{d^2y}{dx^2}<0$

b)

$\frac{d^2y}{dx^2}>0$

c)

$\frac{d^2y}{dx^2}=0$

d)

$\frac{d^2y}{dx^2}\ne0$

5.

The nature of stationary point for a curve $y=9-6x-x^2$ is:

a)

inflection point

b)

minimum point

c)

intersection point

d)

maximum point

6.

The nature of stationary point for a curve $y=x^2+2x-4$ is:

a)

inflection point

b)

minimum point

c)

intersection point

d)

maximum point

7.

Stationary point occur when....

a)

x = 0

b)

$\frac{\text{d}y}{\text{d}x}=0$

c)

$\frac{\text{d}x}{\text{d}y}=0$

d)

$\frac{d^2y}{dx^2}=0$

8.

A rate is a ratio that compares

a)

A part to a part

b)

A part to a whole

c)

Quantities with different units

d)

Quantities with the same units

9.

What type of slope is represented in the picture?

a)

positive

b)

Negative

c)

Zero

d)

Undefined

10.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

Application of Differentiation

Total questions: 10

Worksheet time: 8mins

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