Derivatives Review

Find the derivative of
 $f\left(x\right)=-\frac{2}{3}x^3-\frac{1}{2}x^2+9x$  

•  $-2x^2-x+9$  
  

•  $-2x^3-x^2+9x$  
  

•  $-\frac{2}{12}x^4-\frac{1}{6}x^3+\frac{9}{\ 2}x^2$  
  

•  $-2x^4-x^3+9x^2$  
  

Tags

CCSS.HSF-LE.A.1B

Find the second derivative of the function $f\left(x\right)=2x-5x^6$  

•  $2-30x^5$  

•  $x^2-\frac{5}{7}x^7$  
  

•  $-30x^5$  

•  $-150x^4$  
  

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Tags

CCSS.HSA.REI.A.1

Find h'(t) if h(t)=5x³-2x

• 3x²
• 15x²-2
• 15x²
• 15x²-2x

Tags

CCSS.HSF.IF.A.2

If a function has a derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The function is positive

• The function is negative

 $f\left(x\right)=\frac{5}{x^2}$  

f'(x) = 

• 5x

• 5/2x

• 5x^-2

• -10/x³

Given the function graphed, which is the graph of the derivative?

• 
• 
• 
• 

Let $f\left(x\right)\ =\ 1-3x^2$ . Which of the following is equal to  $f'\left(1\right)$  ?

• 6

• -5

• -2

• -6

Tags

CCSS.HSF.IF.A.2

Find $\frac{dy}{\text{}dx}$ , If $\ y=\ \frac{x^3}{3}\ +\ \frac{x^2}{2}+x$ .

• $x^2+x$

• $x^2+x+1$

• $3x^2+2x+1$

• $x^3+x^2\ +1$

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)