Differentiation Review

Match the following functions with their derivatives

• f'(x) = sec ² x

• f(x) = csc x

• f'(x) = -csc x cot x

• f(x) = sin x

• f'(x) = cos x

• f(x) = tan x

• f'(x) = sec x tan x

• f(x) = cos x

• f'(x) = -sin x

• f(x) = sec x

Match the Derivative Rule(s) needed to determine the derivative of each Function below:

• power rule

• product & chain rules

• quotient rule

• product rule

• f(x) = 2x cos (3x-1)

• chain rule

What's the derivative of ln (x)?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.8B

Which gives the limit definition of a derivative

Tags

CCSS.HSA.REI.A.1

.

• (3x²-2)cos(x³-2x)

• -(3x²-2)cos(x³-2x)

• cos(2x²-2)

• sin(2x²-2)

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

The position of an object is given as a function of time by x = 3t² + 5t³ - 2t
What is the acceleration of the object at time t = 2 s?

• 64 m/s/s
• 60 m/s/s
• 66 m/s/s
• 70 m/s/s

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

Tags

CCSS.7.EE.A.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)