Find whether f(x)=1/x is strictly increasing or a strictly decreasing function.

Asked by Snehal Mehrotra | 16th Dec, 2011, 12:00: AM

Expert Answer:

To ceck whether f(x)=1/x is strictly increasing or decreasing function.
We calculate the first derivative of f(x),i.e f'(x)
Differentiating f(x),we get f'(x)=-1/x2
Since x2>0 for all x not equal to zero.
Thus,f'(x)<0 for all x not equal to zero.
And hence f(x) is strictly decreasing function.

Answered by  | 16th Dec, 2011, 12:00: PM

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