When we "take the derivative" of a function what are we finding?

The rate at which our struggles in Calculus are increasing.

A function whose graph is otherwise continuous will fail to have a derivative at a point where the graph has a...

corner, cusp, vertical tangent, discontinuity

corner, cusp, horizontal tangent, discontinuity

corner, cusp, vertical tangent, continuity

corner, curve, vertical tangent, continuity

Select the statement that is NOT true. The function shown...

has a limit that exists at x = 8

has a limit that exists at x = 4

has a limit that exists at x = 6

Is the above function differentiable for all values of x? Why?

No, the function has a sharp turn in the first quadrant so if is not differentiable.

Yes, the slope of the tangent line can be calculated for all values of x.

Yes, the function is continuous for all values of x so the function is differentiable.

No, the function is discontinuous so it is not differentiable.

Is the above function differentiable at x = 0? Why?

No. The derivative would not exist at x = 0 since there is a vertical tangent.

Yes. The derivative would be equal to zero since there is a vertical tangent.

No. The derivative does not exist since $$\lim_{x\rightarrow0}\ x^{\frac{1}{3}}$$ does not exist.

Yes since $$\lim_{h\rightarrow0}\ \frac{\left(x+h\right)^{\frac{1}{3}}-x^{\frac{1}{3}}}{h}$$ exists.

Derivative Rules Practice (Review Test 2A)

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7B, 8.F.A.3, HSF.IF.A.2

+2

Standards-aligned

Bimaldeep Mavi

Used 2+ times

FREE Resource

40 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

A derivative is defined as

the slope of the secant line

the slope of a straight line

the slope of the tangent line

the slope of a horizontal line

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is the Constant Rule?

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is the Constant Multiple Rule?

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is the Power Rule?

5.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Which of the following is the Sum/Difference Rule?

6.

MULTIPLE CHOICE QUESTION

45 sec • 5 pts

Which of the following is the Product Rule?

7.

MULTIPLE CHOICE QUESTION

45 sec • 5 pts

Which of the following is the Quotient Rule?

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Derivative Rules Practice (Review Test 2A)

40 questions

A derivative is defined as

Which of the following is the Constant Rule?

Which of the following is the Constant Multiple Rule?

Which of the following is the Power Rule?

Which of the following is the Sum/Difference Rule?

Which of the following is the Product Rule?

Which of the following is the Quotient Rule?

What is the derivative of y=4

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