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If $f(x)=4x^(-1)$ find $(f(a+h)-f(a))/h$ ?

1 Answer

Shwetank Mauria

Feb 25, 2017

$(f(a+h)-f(a))/h=(-4)/(a(a+h))$

Explanation:

As $f(x)=4x^(-1)=4/x$

as such $f(a)=4/a$ and $f(a+h)=4/(a+h)$

and $(f(a+h)-f(a))/h=(4/(a+h)-4/a)/h$

= $((4a-4a-4h)/(a(a+h)))/h$

= $((-4h)/(a(a+h)))/h$

= $(-4h)/(a(a+h))xx1/h$

= $(-4)/(a(a+h))$

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