Power Rule + Product Rule

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

• f'(x)=3x² + 2x

• f'(x)=3x + 2x 

• f'(x)=3x + 2x + 3

• f'(x)=x³ + x² 

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

Mathematical Equivalence

ON

Answer explanation

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

Tags

CCSS.HSF-IF.C.8B

Differentiate y= 12x^-2

Answer explanation

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

Find the derivative of y

Answer explanation

Answer explanation

What is the derivative of xⁿ?

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

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

• 4
• x
• -4
• 0