Let f (x) be differentiable on R, find the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A I want to define the formula, not the compound function | Math enthusiast | Mathematical art

Let f (x) be differentiable on R, find the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A I want to define the formula, not the compound function

The derivative of F (- x) at x = A:
f'(-x) *(-1)=-f'(-x)
Then f '(- a) = - f' (- a)
Derivative f '(- a) of F (x) at x = - A
The relationship is: opposite numbers

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