Chain Rule Review

If y = sin x , then y' =

• cos x

• sin x

• -cos x

• -sin x

If y = cos x , then y' =

• -cos x

• -sin x

• sin x

• cos x

If y = tan x, then y ' =

• cot²x

• sec²x

• -sec²x

• sec x tan x

If y = cot x , then y ' =

• -cot x

• -cot²x

• -csc²x

• -sec²x

If y = sec x , then y' =

• -sec x tan x

• sec²x

• sec x tan x

• tan²x

If y = csc x , then y' =

• cot²x

• -cot²x

• -secx tan x

• -cscx cot x

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.SSE.A.2

CCSS.HSN.RN.A.2

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

Find dy/dx if y = cos⁵x

• 5cos⁴x
• -5sin⁴x
• 5cos⁴xsinx
• -5cos⁴xsinx