Free Printable Application of Derivatives

1.

If the angle of intersection of two curves is a right angle, then two curves are called (a)

2.

A fn is said to be decreasing if f'(x) is

a)

$\ge0$

b)

$\le0$

c)

$=0$

d)

$\ne0$

3.

What is the decreasing interval(s) on the function shown?

a)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

b)

$\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

c)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

d)

$\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

4.

Maximum value of the function $f\left(x\right)=\left(x-2\right)^2+1$ is

a)

1

b)

3

c)

2

d)

none of these

5.

Determine the point on the curve f(x)=(2x-1)² where the tangent is parallel to the line y=4x-2

a)

(0 , 1)

b)

(1 , 9)

c)

(1/2 , 0)

d)

(1 , 1)

6.

The minimum value of $\frac{x}{\log_ex}$ is

a)

(A) e

b)

(B) 1/e

c)

(C) 1

d)

(D) None of these

7.

The absolute minimum value of x⁴ – x² – 2x+ 5

a)

is equal to 5

b)

is equal to 3

c)

is equal to 7

d)

does not exist

8.

Use differential to approximate $\sqrt{36.6}$

a)

6.01

b)

6.05

c)

6.1

d)

6.09

9.

The curve y = x^1/5 has at (0, 0)

a)

(a) a vertical tangent (parallel to y-axis)

b)

(b) a horizontal tangent (parallel to x-axis)

c)

(c) an oblique tangent

d)

d) no tangent

10.

$The\ function\ f\left(x\right)=\ x^2-8x+12\ is\ strictly\ decrea\sin g\ in$

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(2,\ 6\right)$

c)

$\left(-\infty,\ 4\right)$

d)

$\left(4,\ \infty\right)$

Application of Derivatives

Total questions: 10

Worksheet time: 5mins

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