Differentiation - Basics

Differentiate f(x) = 4x².

• 8x
• 16x
• 16x^2
• 8x^2

Tags

CCSS.HSF.IF.A.2

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

Find the gradient function of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

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

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

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-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

What is the derivative of xⁿ?

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

Differentiate 6x^⅔.

• 4x^-⅓
• 4x^-⅔
• 6x^⅓
• 4x^⅓

Find the derivative of:
f(x) = 2/x^0.5
hint: convert decimal to a fractional indice

• -1/x^1.5
• -2/x^1.5
• 2/x^1.5
• -2/x^0.5

Find the derivative of:
f(x) = (x - 4)(x + 7)

• 2x + 3
• 2x - 4
• 2x + 4
• 2x - 3