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# Differentiation : Please explain how to sketch a graph of a differentiable function f such that f > 0 and f' < 0 for all real numbers x.

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Please explain how to sketch a graph of a differentiable function f such that f > 0 and f' < 0 for all real numbers x.

https://brainmass.com/math/graphs-and-functions/sketch-graph-differentiable-function-52584

#### Solution Preview

Hi, here is the question.

how to sketch a graph of a differentiable function f such that f > 0 and f' < 0 for all real numbers x.

Let me explain it to you with an example.

Take a function y= f(x) which is positive for all values of x

y' = f'(x) <0 for all values of.

To graph y= f(x)

We can plugin ...

#### Solution Summary

Sketching a graph of a differentiable function f such that f > 0 and f' < 0 for all real numbers x is explained. The solution is detailed and well presented.

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