Derivative Quiz

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

• m = 0
• f'(x) = -6x - 6
• f'(x) = 6x
• m = -12

Find the derivative. f(x) = -8x^-3 + 5x - e^x

• f'(x) = -24x^-4 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x
• f'(x) = 24x^-2 + 5 - e^x
• f'(x) = 24x^-4 + 5 - e^x-1

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = xe^x + xe^x
• f'(x) = e^x - xe^x
• f'(x) = e^x + xe^x

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Tags

CCSS.HSA.SSE.B.3

.

• Only the Chain Rule
• The quotient & the Chain Rules
• Only the Quotient Rule
• Product & Quotient Rules

Tags

CCSS.HSA.SSE.B.3

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

.

• e^(2x)
• (x^2-2)e^(2x)
• 2xe^(x^2-2)
• (2x-2)e^(x^2-2)

Tags

CCSS.HSF.IF.A.2

.

• The Chain or Quotient Rule
• The Quotient and/or Chain Rule
• Only the Chain Rule
• Only the Quotient Rule

How many derivatives can you take of a function?

• only 3
• only 2
• only 1
• until you can no longer derive it

Tags

CCSS.HSF.IF.A.2

4

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4