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10:30 AM

Explain the concept of derivatives in calculus with an example.

10:31 AM

Derivatives in Calculus

A derivative represents the rate of change of a function with respect to a variable. It shows how the output of a function changes as the input changes.

Example:

If f(x) = x², then the derivative f'(x) = 2x.

This means the slope of the curve y = x² at any point x is 2x.

10:31 AM

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