Chain Rule

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³ + 8x
• 6x⁵ - 16x³ + 8x
• x⁶ - 4x⁴ + 4x²
• 6x⁵ - 16x³ - 8x

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

• A
• B
• C
• D

Tags

CCSS.HSA.APR.A.1

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

• A
• B
• C
• D