Implicit Differentiation

Implicit Differentiation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains implicit differentiation, a technique used to find derivatives of equations not explicitly solved for one variable in terms of another. It covers several examples, including equations of circles, polynomials, mixed terms, and trigonometric functions, demonstrating the use of product and chain rules. The tutorial emphasizes understanding y as a function of x and applying the chain rule when differentiating y.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the result of differentiating the equation of a circle using implicit differentiation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is implicit differentiation and why is it used?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of taking the derivative of both sides of an equation with respect to x.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the derivative of a constant relate to implicit differentiation?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of treating y as a function of x in implicit differentiation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the chain rule when differentiating y squared with respect to x?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to differentiate a product involving y and x.

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