Introduction to Finding Derivatives

Introduction to Finding Derivatives

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the concept of derivatives, starting with the idea of rates of change and tangents. It demonstrates how to find the gradient at a specific point using the example of Y = X^2. The tutorial then introduces the general rule for finding gradients from first principles, applying it to the function X^3. The process involves algebraic manipulation and the use of limits. The video concludes by summarizing the derivative as the instantaneous rate of change and its significance in understanding nonlinear graphs.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the limit process as H approaches zero in the context of finding derivatives.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general formula for the gradient of the curve Y = X^3?

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