Derivative Power Rule and Def of Derivative

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

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

Tags

CCSS.HSA.APR.A.1

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

• f '(1) = 0

• f'(1) = -6x - 6

• f'(1) = 6x

• f ' (1) = -12

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

• 7
• 0
• 7x
• 14

The derivative of

• y'=2x-x^-2

• y' = x^-1+ 8x

• y' = 8x +x ^-2

• y' = 8x - x^-2

• 9x^-1/3
• -3x^-4/3
• -9x^2/3
• -3x^2/3

Find f '(3) if

f(x) = x² + 5x

• 2x + 5

• 11

• 24

• none of these

What is the equation of the slope of the tangent line to the graph of

y = 1 - 2x⁴ ?

• -2x²

• 8x³

• -4x³

• -8x³

Write the equation of the tangent line to the graph of y = x² at point (-1, 1)?

• y = 2x+3

• y = - 2x - 1

• y = 3x + 2

• y = - x + 2

• 15x²

• (5/4)x⁴

• indeterminate

• ∞

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3