Basic Differentiation

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

• 4
• x
• -4
• 0

Find the derivative of the given equation
f(s) = 12 - 8s

• -8x
• -8s
• -8
• 12 - 8

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1

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

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

What is the derivative of xⁿ?

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

Differentiate f(x) = 5x⁷.

• 35x⁶
• 210x⁵
• 5x⁶
• 1050x⁴

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

Derivative of tanx

• cosx
• sinx
• secx
• sec²x

• cosx
• -cosx
• -sinx cosx
• sinx cosx

Tags

CCSS.HSF.TF.B.5

• sinx
• -sinx
• -cscx cotx
• sec²x