Derivative Review 2

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

What is the derivative of sec(x)?

• sec(x)tan(x)
• csc(x)cot(x)
• -sec(x)tan(x)
• -csc(x)cot(x)

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

Note: Not finding derivative, just finding what it's equal to...

• cos x
• csc x
• sec x
• cot x

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

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find f'(x) if f(x) = sin⁵ x

Tags

CCSS.HSF.TF.C.9

find y'

y = 20 sin⁴(4x)

• 320sin³(4x)

• 320sin³(4x)cos(4x)

• 80sin³(4x)

• 320sin³(x)cos(x)

Tags

CCSS.HSF.TF.C.9

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)

• e^x

• xe^x + xe^x

• e^x + x

• e^x + xe^x