Lesson 2 Some Rules for differentiation

The slope of the curve y = 6x^1/2+x at x = 0 is

• 4
• 3
• 1
• 0

• A
• B
• C
• D

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

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

Differentiate f(x) = 4x².

• 8x
• 16x
• 16x^2
• 8x^2

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

Tags

CCSS.8.EE.B.5

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

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

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

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

What is the derivative of a constant, C?

• C
• 1
• 0

What is the derivative of xⁿ?

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