Chain Rule

Find the derivative of f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴

• f '(x) = 6x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁶(x⁶ + 4)⁴

Tags

CCSS.HSA.SSE.A.2

find y' for y=(e^5x)+1

• 5e^5x+1

• e^5x

• 5e^5x

• 1

Tags

CCSS.HSF-IF.C.8B

• 
• 
• 
• 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.B.3

• 
• 
• 
• 

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.A.2

Find the derivative of the given equation
 $f\left(x\right)=\frac{1}{x^2}$  

•  $\frac{1}{2x}$  
  

• -2x

• 2x

•  $-\frac{2}{x^3}$   
  

Find  $\frac{dp}{dq}\ if\ p=\frac{1}{\sqrt{4q+9}}$  

•  $-\frac{2}{\left(4q+9\right)^{\frac{3}{2}}}$  

•  $\frac{2}{\left(4q+9\right)^{\frac{3}{2}}}$  

•  $-\frac{1}{2\left(4q+9\right)^{\frac{3}{2}}}$  

•  $-\frac{1}{\sqrt{4q+9}}$  

 $\frac{dy}{dx}\ if\ y=e^{\left(7-9x\right)}$  Find

•  $-9e^{\left(7-9x\right)}$  

•  $e^{-9}$  

•  $-9\ln\left(7-9x\right)$  

•  $7e^{\left(7-9x\right)}$  

Tags

CCSS.HSF-IF.C.8B

If $y=20\left(3\right)^{2x}$ , find  $\frac{dy}{dx}.$   

•  $20\ln3^{2x}$  

•  $40\left(3\right)^{2x}$  

•  $40\ln3\left(3\right)^{2x}$  

•  $20\left(3\right)^{\left(2x-1\right)}$  

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

How do you feel about the chain rule?

• not good

• ehh

• good

• really good

• excellent!