Multiple choice general knowledge math & puzzles

If f(x) = g(u) and u = u(x) then

  1. f '(x) = g '(u)

  2. f '(x) = g '(u) . u '(x)

  3. f '(x) = u '(x)

  4. None of the above
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B Correct answer
Explanation

This is the Chain Rule of differentiation. If $f$ is a function of $u$, and $u$ is a function of $x$, then the derivative of $f$ with respect to $x$ is the derivative of $g$ with respect to $u$ multiplied by the derivative of $u$ with respect to $x$.

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