Derivative (Power Rule)

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

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

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3

The derivative of 

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

Find dy/dx for y = 4x³ + 3x + 1

• dy/dx = 4x² + 3

• dy/dx = 4x² + 3x

• dy/dx = 12x² + 3x

• dy/dx = 12x² + 3

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• slope of the secant line

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

• y' = 8x + 3 +12/x³

• y' = 8x + 3 -12/x³

• y' = 8x + 3 + 12/x

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