Write the tangent line through a point of an equation with e implicit

Write the tangent line through a point of an equation with e implicit

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains implicit differentiation, focusing on using the product rule to find derivatives. It guides through solving for dy/dx and evaluates the derivative at a specific point, demonstrating the process with step-by-step instructions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary method used to differentiate an expression with two variables in this lesson?

Implicit differentiation

Explicit differentiation

Numerical differentiation

Graphical differentiation

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is applied twice when differentiating the given expression?

Power rule

Product rule

Chain rule

Quotient rule

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when collecting terms involving dy/dx?

To integrate dy/dx

To differentiate dy/dx again

To isolate dy/dx

To eliminate dy/dx

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which point is the derivative evaluated in the final section?

(1,1)

(0,1)

(0,0)

(1,0)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of e^0 used in the final calculations?

1

0

-1

e