AB Power Rule

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

• 7
• 0
• 7x
• 14

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

• 4
• x
• -4
• 0

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 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

Tags

CCSS.HSA.APR.A.1

The derivative of 

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

Tags

CCSS.HSA.APR.A.1

f(x)= 9/∛x
f'(x) =

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

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

What is the derivative of a constant, c?

• c

• 0

• 1

Differentiate h(x) = 3x^5/3 - 6x^1/6 + 3x

• h'(x) = 5x^2/3 - x^-5/6 + 3

• h'(x) = 3x^2/3 - 6x + 3

• h'(x) = 5x^4/3 - 6x + 3

• h'(x) = 3x^4/3 - x^-5/6 + 3

Tags

CCSS.HSN.RN.A.2

CCSS.HSN.RN.A.1

Find the derivative of  $f\left(x\right)\ =\ \frac{1}{x^5}$  

•  $5x^4$  

•  $-5x^6$  

•  $-\frac{5}{x^6}$  

•  $\frac{1}{5x^6}$