If f (x) is differentiable on R, the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A is () A. Equal B. reciprocal C. opposite D. uncertain

If f (x) is differentiable on R, the relation between the derivative of F (- x) at x = A and the derivative of F (x) at x = - A is () A. Equal B. reciprocal C. opposite D. uncertain

(1) Let f (- x) = g (x), then G ′ (a) = Lim △ x → 0g (a + △ x) − g (a) △ x = Lim △ x → 0f (− a − △ x) − f (− a) △ x = - Lim △ x → 0f (− a − △ x) − f (− a) − Δ x = - F ′ (- a). The derivative of F (- x) at x = a is opposite to that of F (x) at x = - A