Chain Rule practice

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

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

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Tags

CCSS.HSA.REI.A.2

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

Find H'(1)

(a)  

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find The Derivative at x=2

(a)  

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find G'(2)

(a)  

Tags

CCSS.HSF.IF.A.2

Tags

CCSS.HSF.IF.C.8

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