Decide the x-value which is Max value of the function y=4sin(x)+3cos(x) in 0<=x<=2¶

Thanks for helping.

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- Jan 7th 2011, 12:21 PMhejmhMax value of trigonometric function
Decide the x-value which is Max value of the function y=4sin(x)+3cos(x) in 0<=x<=2¶

Thanks for helping.

- Jan 7th 2011, 12:33 PMdwsmith
Endpoints (0,3) and (2,2.3887)

1st derivative $\displaystyle \displaystyle y'=4\cos{x}-3\sin{x}=0\Rightarrow \frac{4}{3}=\tan{x}$

Solve the equation for rel. maxes between [0,2] if there are any.