Derivatives #3

Use implicit differentiation to find y' for the following equation:   4x cos(y) = 1

• y' = cos(y) / x sin(y)
• y' = 4x sin(y)
• y' = cot(y)
• y' = 4 / sec(y)tan(y)

• sinx
• -sinx
• -cscx cotx
• sec²x

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

CCSS.HSF.TF.C.8

• secx tanx
• -secx tanx
• tan²x
• cscx cotx

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

• A
• B
• C
• D

.

• (3x^2-2)cos(x^3-2x)
• -(3x^2-2)cos(x^3-2x)
• cos(2x^2-2)
• sin(2x^2-2)

d/dx (sin²x) = ?

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

Find the derivative:
y=4^x

• y′=4^x
• y′=(lnx)4^x
• y′=(ln4)4^x
• y′=(log4)4^x

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

• A
• B
• C
• D