Quiz-XII B.Maths

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

(3 minutes)

• 10

• 5

• 13

• 15

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

(3 minutes)

•  $6x^2+8x+1$  

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

•  $6x^2-8x+1$  

•  $6x^2+8x-1$  

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

(5 minutes)

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

•  $\frac{-3x^2+8y}{8x+3y^2}$  

•  $\frac{3x^2-8y}{8x+3y^2}$  

•  $\frac{-3x^2-8y}{8x-3y^2}$  

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

(5 minutes)

•  $\frac{4}{x^2}$  

•  $\frac{x^3}{4}$  

•  $4\times\frac{1}{x^2}$  

•  $\frac{1}{x^2}$  

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

(8 minutes)

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

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

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

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

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

(5 minutes)

• 3

• 18

• 12

• -4

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

(5 minutes)

•  $1$  

• 4

• 5

•  $-1$  

 $x+\frac{27}{x^3}$  

Find the minimum value of  

(3 minutes)

• 3

• 4

• 5

• 27

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

(1 minute)

• 2x

• 4x

• 2x+4

• 4x+4

Derivative means the same thing as

(1 minutes)

• slope of the tangent line

• slope of the normal line

• exponent

• line