First slide

Derivatives

Question

If graph of y=f(x) is symmetrical about the point (5, 0) and $f' (7) = 3$ . then the value of $f' (3)$ is _____

Moderate

Solution

$\begin{array}{l} We have f (5 - x) = - f (5 + x) or - f' (5 - x) = - f' (5 + x) \\ or f' (5 - 2) = f' (5 + 2) or f' (3) = f' (7) = 3 \end{array}$

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