Chapter 15 - Differentiation - Power Rule

Differentiate f(x) = x³.

• x^4
• 3x^3
• 3x^2
• 6x

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+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

Tags

CCSS.HSA.APR.A.1

Derive y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Derive y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

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

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