Calculus Concepts and Techniques

Calculus Concepts and Techniques

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Emma Peterson

FREE Resource

This video tutorial covers key calculus topics including limits, derivatives, continuity, integration, and tangent lines. It provides step-by-step instructions for evaluating limits, using the power rule for derivatives, ensuring continuity in piecewise functions, differentiating exponential and logarithmic functions, and finding tangent lines through implicit differentiation. The video also explores integration techniques and analyzes concavity and inflection points.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What topics are covered in this video tutorial?

Continuity, Limits, Derivatives, and Integration

Statistics and Probability

Trigonometry and Complex Numbers

Algebra and Geometry

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When evaluating a limit, what should you try first?

Factor the expression

Use direct substitution

Apply the power rule

Use the product rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of x^n using the power rule?

x^(n-1)

nx^(n-1)

nx^(n+1)

n^x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you make a piecewise function continuous?

Ensure the integrals are equal

Make the limits equal

Set the two parts equal at a specific x-value

Ensure the derivatives are equal

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of e^u where u is a function of x?

e^u

e^u * u'

u * e^u

e^(u')

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What technique is used to evaluate integrals that cannot be solved by the power rule?

Direct substitution

U-substitution

Chain rule

Product rule

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In related rates problems, what is typically constant in a cylinder?

Height

Volume

Surface area

Radius

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