Free Printable Quiz-XII B.Maths

1.

The gradient of the function $5x^2+3x+2\ \ \ \ at\ \ \ x=1\ \$ is

(3 minutes)

a)

10

b)

5

c)

13

d)

15

2.

What is the result of the given function? $2x^3+4x^2-x+3$

(3 minutes)

a)

$6x^2+8x+1$

b)

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

c)

$6x^2-8x+1$

d)

$6x^2+8x-1$

3.

The $\frac{\text{d}x}{\text{d}y}$ for the following function is $x^3+8xy+y^3=64$

(5 minutes)

a)

$-\frac{\left(3x^2+8y\right)}{8x+3y^2}$

b)

$\frac{-3x^2+8y}{8x+3y^2}$

c)

$\frac{3x^2-8y}{8x+3y^2}$

d)

$\frac{-3x^2-8y}{8x-3y^2}$

4.

The derivative of $2x^2+1\ \ \$ with respect to $x^4-2$ is

(5 minutes)

a)

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

b)

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

c)

$4\times\frac{1}{x^2}$

d)

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

5.

What will be $\frac{\text{d}x}{\text{d}y}$ if $x^2+xy+y^3=10$

(8 minutes)

a)

$-\frac{\left(2x+y\right)}{\left(x+3y^2\right)}$

b)

$-\frac{\left(2x-y\right)}{\left(x+3y^2\right)}$

c)

$-\frac{\left(2x+y\right)}{\left(x-3y^2\right)}$

d)

$\frac{\left(2x+y\right)}{\left(x-3y^2\right)}$

6.

The maximum value of the function $y=12x-2x^2$ is

(5 minutes)

a)

3

b)

18

c)

12

d)

-4

7.

The function $f\left(t\right)=t^3-3t+2$ is maximum when t is equal to

(5 minutes)

a)

$1$

b)

4

c)

5

d)

$-1$

8.

$x+\frac{27}{x^3}$

Find the minimum value of

(3 minutes)

a)

3

b)

4

c)

5

d)

27

9.

Find the derivative of $f\left(x\right)=2x^2+3$

(1 minute)

a)

2x

b)

4x

c)

2x+4

d)

4x+4

10.

Derivative means the same thing as

(1 minutes)

a)

slope of the tangent line

b)

slope of the normal line

c)

exponent

d)

line

Quiz-XII B.Maths

Total questions: 10

Worksheet time: 23mins

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