Derivative, Tangent Line, Power Rule

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

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

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

• A
• B
• C
• D

The derivative of

• y'=2x – x^-2

• y'=x^-1 + 8x

• y'=x^-2 + 8x

• y=8x – x^-2

f(x)= 9/∛x

f'(x) =

• 9x ^-1/3

• -3x ^{- 4/3}

• -9x^2/3

• -3x^2/3

What is the derivative of xⁿ?

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

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x