## hawkfalcon Group Title A function f is defined on the interval [0,4], and its derivative is f'(x)=e^sinx - 2cos3x On what interval is f increasing? At what values of x does f have a local maxima? How many points of inflection does the graph of f have? one year ago one year ago

1. hawkfalcon

$f'(x)=e ^{sinx} - 2\cos3x$

when is $f'(x)>0$solve

$e^{\sin x}>2\cos 3x$ $\sin x>\ln(2\cos 3x)$

4. hawkfalcon

Okay. O.o

5. mahmit2012

|dw:1351732431643:dw|

6. hawkfalcon

Inequalities? :3 Is there a way you can do it without that? /me never learned about inequalities

7. hawkfalcon

@mahmit2012 Alright. :/

@mahmit2012 is giving you a good method

9. hawkfalcon

Critical points?:3

10. hawkfalcon

@mahmit2012 How would I find those points?

11. mahmit2012

You should find the critical points with Matlab or other software .

12. hawkfalcon

Alright. And that will show me the ranges? :) Thanks!