Let f be a differentiable function on (-0o,00) such that f(-x)= f(x) for all x in (, o). compute the value of f'(0). justify your answer

Step-by-step explanation:

Applying the chain rule

Then it becomes

In x=0

f}{dx} =-\frac{df}{dx}" alt="f'(0)=-f'(0)\\f'(0)+f'(0)=0\\2f'(0)=0\\" />f}{dx} =-\frac{df}{dx}" />

Then

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step-by-step explanation:

there are infinitely many solutions.