Example 8 - Find derivative of f(x) = 3 at x = 0, x = 3 - Examples

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  1. Chapter 13 Class 11 Limits and Derivatives
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Example 8 Find the derivative of f(x) = 3 at x = 0 and at x = 3. f(x) = 3 We need to find Derivative of f(x) at x = 0 & at x = 3 i.e. f’ (0) & f’ (3) We know that f'(x) = lim﷮h→0﷯ f﷮ x + h﷯ − f(x)﷯﷮h﷯ Here, f (x) = 3 So, f (x + h) = 3 Putting values f’(x) = lim﷮h→0﷯ 3 − 3﷮h﷯ f’(x) = lim﷮h→0﷯ 3 − 3﷮h﷯ f’(x) = lim﷮h→0﷯ 0﷮h﷯ f’(x) = 0 Thus, f’(x) = 0 Putting x = 0 f’ (0) = 0 & Putting x = 3 f’ (3) = 0 Hence, derivative f (x) at x = 0 & at x = 3 is 0

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