Derivatives worksheet

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

• 7
• 0
• 7x
• 14

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

• 4
• x
• -4
• 0

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

• 1 - 2x
• -2x
• -2
• -1

Tags

CCSS.HSF.IF.A.2

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

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

Tags

CCSS.HSA.APR.A.1

Find the derivative of $y=\frac{2}{x}$  

• y = 2 x^-1

• y=2 x^-2

• y= −2x^-2

• y= −2 x^-1

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Tags

CCSS.HSF.IF.B.4

Find the derivative of  $y=x^4.\sin x$  

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx

What is the derivative of ax?

• a
• x
• 1
• 0

Differentiate y= x³ + 2x

• 3x³+2x
• 3x²+2
• 3x+2
• 3x