exponential function

Intro

applying both the product rule and chain rule.

Sample Problem

Solution

y=e(sinx).sin(ex)
dy/dx=e(sinx).d/dx(sin(ex))+sin(ex).d/dx(e(sinx)) product rule

d/dx(sin(ex))=cos(ex).ex chain rule
d/dx(e(sinx))=e(sinx).cosx chain rule

dy/dx=e(sinx).cos(ex).ex + sin(ex).e(sinx).cosx