# How do you sketch the curve #y=e^x-sinx# by finding local maximum, minimum, inflection points, asymptotes, and intercepts?

##### 1 Answer

Dec 22, 2017

Identify those critical points from the first and second derivatives of the function. Then you can "sketch" the curve knowing the basic shape.

#### Explanation:

The first derivative will identify inflection points. The second derivative will show their direction. Intercepts are "solutions = where

See the following reference for details in calculation and interpretation:

Weisstein, Eric W. "First Derivative Test." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/FirstDerivativeTest.html

Weisstein, Eric W. "Second Derivative Test." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SecondDerivativeTest.html