Question: (a) Let f'(x) be continuous. Show that (b) Explain the result of part (a) graphically. lim h0 f(x+h)-f(xh) 2h = f'(x).

(a) Let f'(x) be continuous. Show that


lim h0 f(x+h)-f(xh) 2h = f'(x).


(b) Explain the result of part (a) graphically.


image

lim h0 f(x+h)-f(xh) 2h = f'(x).

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a Using the definition of the derivative we have fx limh0 fxh fxh Multiplying the numerator ... View full answer

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