Chain Rule Review

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)

Find y' if y = tan(3x²+2).

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

Tags

CCSS.HSF.IF.A.2

Find the derivative of the function:
f(x) = (7/5) sin² 2x

• f '(x) = -(28 sin 2x cos 2x)/5
• f '(x) = (28 cos 2x)/5
• f '(x) = (28 sin 2x cos 2x)/5
• f '(x) = (7sin 2x cos 2x) /5

Differentiate y = √(x² - 1)

• √(x² -1)
• (1/2x)(x² - 1)^^(-1/2)
• x(x² - 1)^^(-1/2)
• x(x² - 1)^^(1/2)

Which rule would you need to use?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

Which rule would you need to use?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

Which rule would you need to use?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

.

• Only the Quotient Rule
• The Quotient and Product Rules
• The Quotient and Chain Rules
• Only the Chain Rule

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

Find dy/dx for
(3x - 2x²)³

• dy/dx = (3 - 4x)⋅3(3x - 2x²)²
• dy/dx = 3(3x - 2x²)²
• dy/dx = 3(3 - 4x)²
• dy/dx = (3 - 4x)(9x - 18x²)²