Calculus 4.1 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

• A

• B

• C

• D

• A

• B

• C

• D

• E

• -135

• -5/27

• -5/729

• -5

find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

find y' for y= 1/(x³)

• -3x^-4

• 3x^-3

• 4x^-3

• -3x^-2

Tags

CCSS.HSF.IF.B.6

• 
• 
• 
• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Use the chart to find f'(3) for f(x) = g(x)/[2h(x)]

• (2π+3)/9
• -(3+2π)/9
• -(6+4π)/9
• -2(3+4π)/9