Power and Constant Rule - Differentiation

Find the derivative of the given equation
f(x) = 7

• f'(x) = 7
• f'(x) = 0
• f'(x) = 7x
• f'(x) = 14

Find the derivative of the given function
f(x) = 1/x²

• f'(x) = 1/2x
• f'(x) = -2x
• f'(x) = 2x
• f'(x) = -2/x³

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

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

• f'(x) = 1 - 2x
• f'(x) = -2x
• f'(x) = -2
• f'(x) = -1

Find the derivative of the given function
f(x) = x⁴ + 4x³ - 2x²

• f'(x) = x³ + x² - x
• f'(x) = 4x³ + 12x² + 4x
• f'(x) = 4x + 12x - 4x
• f'(x) = 4x³ + 12x² - 4x

Differentiate f(x) =(2/ x⁵) - 5.

• f'(x) = x⁵-3
• f'(x) = -10x⁶ 
• f'(x) = x⁵-5
• f'(x) = -10/x⁶ 

What is the derivative of xⁿ?

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

The derivative of a function is its

• y-intercept
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Find the slope of the tangent line of  y= 3x² - 5 when x = 2

• 10
• 11
• 12
• 13