Calculus Chapter 2.1-2.4 Review

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

• 1/2x
• -2x
• 2x
• -2x^-3

What is the derivative of xⁿ?

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

What is the derivative?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.1

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 an equation of the tangent line to the graph of f(x) at the point (1, 100)

f(x) = (5x⁵ + 5)²

• y = 500x + 400

• y = 100x + 400

• y = -500 x - 400

• y = 500x - 400

Find the slope of      y= 3x² - 5 using the point x=2

• 10
• 11
• 12
• 13

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

The derivative of a function is its

• average rate of change

• Maximum/Minimum

• Instantaneous rate of change

• root or x-intercept

TRUE or FALSE: f ' (-1) = 3 means the slope of the the function f(x) at x = -1 is 3. 

• TRUE
• FALSE

If f(2)=3 and f'(2)=-1, then the equation of the tangent line to f(x) at x = 2 is 

• y - 2 = 3(x + 1)
• y - 3 = -1(x - 2)
• y + 1 = 2(x - 3)
• y - 1 = 2(x - 3)

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2