First slide

Differentiability

Question

$If f (x) = (x - a) g (x) and g (x) is continuous at x = a then f^{1} (a) =$

Moderate

A

$a g (a)$
B

$g^{1} (a)$
C

$g (a)$
D

$a g^{1} (a)$

Solution

$By using f (a) = 0, we get f^{1} (a) = g (a)$

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