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Let f(x) = x + 1/2x + 1/2x + 1/2x + .....∞ Compute the value of f'(10).f'(10).

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in Limit, continuity and differentiability by (55.0k points)

Let f(x) = x + 1/2x + 1/2x + 1/2x + .....∞ Compute the value of f'(10).f'(10).

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1 Answer

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Best answer

differentiating w.r.t. x

2f(x) . f'(x) - 2x = 0

or f(x) . f'(x) = x

hence f(10).f'(10) = 10

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