Calculus

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Find the derivative of m(x)=1/(x+1) by using the definition of the derivative.

  • Calculus -

    we want the limit as h->0 of

    [m(x+h)-m(x)]/h
    = [1/(x+1+h) - 1/(x+1)]/h
    = [(x+1) - (x+1+h)] / h(x+1)(x+1+h)
    = h/h * -1/(x+1)(x+1+h)
    --> -1/(x+1)^2

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