Practice question

MCQ

Question

If f(x) = x|x| and g(x) = sin x then gof(x) then at x = 0

Options

Choose one · Correct answer highlighted

gof(x) is differentiable Correct gof(x) is not differentiable The value of the derivative of gof(x) is 1 None of the above

Explanation

Here's the idea in simple terms: solving fully: apply relevant formula, put numbers, compute. Result comes as gof(x) is differentiable. Easy verification shows it satisfies condition.

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