12/16: Derivatives Mid Unit Quiz

Find the derivative of the function.  $f\left(x\right)=\frac{3}{x^7}$  

Tags

CCSS.HSF-IF.C.8B

What rule should be used in finding the derivative of $f\left(x\right)\ =\ x^5$   

• Product Rule 

• Power Rule

• Chain Rule 

• Quotient Rule

What function has the derivative of $g’\left(x\right)\ =\ 2x^{3\ }-4x\ +5?$   

•  $g\left(x\right)\ =\ 6x^{2\ }-4x$  

•  $g\left(x\right)\ =\ 2x^{3\ }+x^3-2x$  

•  $g\ \left(x\right)\ =\ x^5+x^2-x$  

•  $g\left(x\right)\ =\ x^{4\ }+\ x^{2\ }-x$  

Find $\frac{\text{d}y}{\text{d}x}$ for  $y=(x+1)(x+2)$  

What is the rate of change for $f\left(t\right)=2t^3-4t\ +1\$  when t = 2s and f is in meter (m)?

• 16m/s

• 20m/s

• 24m/s

• 30m/s

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find  $\frac{\text{d}y}{\text{d}x}$  if  $y\ =\ \frac{x^3}{x-1}$