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Find the values where the function has horizontal tangents

Find the values where the function has horizontal tangents

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to find horizontal asymptotes and tangents by rewriting a function and applying the chain rule to find its derivative. The process involves simplifying the derivative and solving for when it equals zero to identify horizontal tangents. The tutorial concludes with a brief mention of finding the vertex.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the function to find horizontal asymptotes?

Differentiate the function immediately

Rewrite the function using exponent rules

Apply the chain rule directly

Rewrite the function using logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When applying the chain rule, what do you do with the exponents?

Add them together

Subtract them

Multiply them

Divide them

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the derivative after applying the chain rule?

4X over three times the square root of X^2 - 1

4X over three times the cube root of X^2 - 1

2X over three times the cube root of X^2 - 1

2X over three times the square root of X^2 - 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve for x when the derivative is in the denominator?

Add the denominator to both sides

Multiply by the denominator on both sides

Divide by the denominator on both sides

Subtract the denominator from both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what value of x does the horizontal tangent occur?

x = 1

x = 0

x = 2

x = -1

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