Derivatives #2

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5

• cscx cotx
• secx tanx
• sec²x
• -cscx cotx

Tags

CCSS.HSF.TF.C.8

• -cscx cotx
• cscx cotx
• -csc²x
• csc²x

Find the second derivative of
f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

Tags

CCSS.HSF.IF.A.2

• A
• B
• C
• D

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Tags

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.TF.A.2

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find the derivative:
y=5^7x

• y′=35(ln5)5^7x
• y′=7(ln5)5^7x
• y′=5(ln7)5^7x
• y′=35(ln7)5^7x

Find dy/dx

• A
• B
• C
• D