SOLUTION: How to get stationary points of f(x)=sin^3(x)+cos^3(x)? I know i need derivative which is 3sin^2(x)*cos(x)-3cos^2(x)*sin(x) but i don't know how to proceed to get it.

Algebra ->  Trigonometry-basics -> SOLUTION: How to get stationary points of f(x)=sin^3(x)+cos^3(x)? I know i need derivative which is 3sin^2(x)*cos(x)-3cos^2(x)*sin(x) but i don't know how to proceed to get it.      Log On


   



Question 931557: How to get stationary points of f(x)=sin^3(x)+cos^3(x)?
I know i need derivative which is 3sin^2(x)*cos(x)-3cos^2(x)*sin(x) but i don't know how to proceed to get it.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How to get stationary points of f(x)=sin^3(x)+cos^3(x)?
I know i need derivative which is 3sin^2(x)*cos(x)-3cos^2(x)*sin(x) but i don't know how to proceed to get it.
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3sin^2(x)*cos(x)-3cos^2(x)*sin(x) = 0 at the points
sin(x)*cos(x)*(sin(x) - cos(x)) = 0
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sin(x) = 0
cos(x) = 0
sin(x) - cos(x) = 0
Can you do the rest?