Derivatives: Power, Product, Quotient Rules

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Find the slope of f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Tags

CCSS.8.EE.B.5

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Tags

CCSS.HSF-IF.C.8B

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

The derivative of 

• y'=2x-x^-2
• y'=x^-1+8x
• y'=x^-2+8x
• y=8x-x^-2

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Find the derivative of the given equation
f(s) = 12 - 8s

• -8x
• -8s
• -8
• 12 - 8

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2