Calculus Semester Exam Review!

Which of the following could be used to take the derivative for the function f(x)=6x³(4x)⁶ ??

(Select all that apply)

• Power Rule

• Sum and Difference

• Product

• Quotient

Which of the following rules could NOT be used to take the derivative of the function

f(x)= 3x²-10x+7

(Select all that apply)

• Power Rule

• Sum and Difference

• Product

• Quotient

What type of graph would be the derivative for a cubic function?

• Quartic

• Cubic

• Parabola

• Linear

What type of graph would be the derivative for a quartic function?

• Quartic

• Cubic

• Parabola

• Linear

What is the derivative of f(x)=5+x?

• f'(x)=5

• f'(x)=5+1

• f'(x)=0

• f'(x)=1

If the tangent line is horizontal at x=c, which of the following must be true?

• c is a point of inflection

• c must be a maximum

• c must be a critical point

• c must be a minimum

If x=c is an inflection point, what must be true? (Select all that apply)

• f'(c)=0

• the concavity changes

• f''(c)=0

• the function changes from increasing to decreasing

True/False: if the limit of a function exists at x=c, then f(c) exists.

• True

• False

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

True/False: if the limit of a function at x=c is 5, then f(c)=5

• True

• False

Tags

CCSS.HSF.BF.A.2

True/False: If a function is continuous at x=c, then the limit at c = f(3)

• True

• False