Minimum and Maximum Problem: Can someone please help me?!?
Where are the local max/min for the function e^x sin(x) between x=0 and x=2pi?

Question

Minimum and Maximum Problem: Can someone please help me?!?
Where are the local max/min for the function e^x sin(x) between x=0 and x=2pi?

anonymous · Answer

take the derivative using the product rule
set it equal to zero and solve
when you set it equal to zero, factor out the $e^x$ and since $e^x$ is never zero, find the zeros of the remaining factor

anonymous · Answer

can you do it visually?

anonymous · Answer

no i would have to write it

anonymous · Answer

i don't really know what $y=e^x\sin(x)$ looks like

anonymous · Answer

yea thats what I meant by writing it..

anonymous · Answer

http://www.wolframalpha.com/input/?i=e^xsin%28x%29+domain+0..2pi

anonymous · Answer

$$f(x)=e^x\sin(x)$$
$$f'(x)=e^x\sin(x)+e^x\cos(x)=e^x(\sin(x)+\cos(x))$$

anonymous · Answer

set 
$$\sin(x)+\cos(x)=0$$ solve for $x$

anonymous · Answer

sine is the negative of cosine if $x=\frac{3\pi}{4}$ or $x=\frac{7\pi}{4}$