Derivative Diagnostic Exam

What is the derivative of

 $y=18$  ?

• 18x

• 8

• 18

• 0

What is the derivative of

 $y=x^7$  ?

•  $7x$  

•  $x^6$  

•  $7x^6$  

•  $x^4\cdot x^3$  

What is the derivative of

 $y=3x^4$  ?

•  $4x^3$  

•  $0$  

•  $3x^3$  

•  $12x^3$  

What is the derivative of

 $y=3+x^2-7x^3$  ?

•  $2x-21x^2$  

•  $-4-x$  

•  $x-3x^2$  

•  $2x+21x^2$  

what is the derivative of

 $y=\left(x+1\right)\left(x-1\right)$  ?

•  $2x$  

•  $1$  

•  $x^2-1$  

•  $x^2+1$  

What is the derivative of

 $y=\frac{\left(x^2-1\right)}{x+1}$  

• 1

• x

• 2x

• x-1

find the limit of the function f(x) as x approaches to 2, where

 $f\left(x\right)=x^2+x-5$  ?

• 0

• 1

• 2

• -5

What is the slope of the tangent line of the function 

 $f\left(x\right)=x^2$  at x=3?

• 6

• 12

• 9

• 3

What is the slope of the function

 $y=x^{3\ }$  at  $x=-2$   ?

• -8

• 8

• -12

• 12

What is the slope of the function $y=x^2+x^3\ when\ x=1$  ?

• 2

• -5

• 5

• 6