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.

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.

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) (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.
--------------
3sin^2(x)*cos(x)-3cos^2(x)*sin(x) = 0 at the points
sin(x)*cos(x)*(sin(x) - cos(x)) = 0
---
sin(x) = 0
cos(x) = 0
sin(x) - cos(x) = 0
Can you do the rest?
RELATED QUESTIONS
Hei! simplify: {{{... (answered by lwsshak3)

I need help with the next steps of proving this equation: (3-3cos(x))(1+cos(x))=... (answered by lwsshak3)

verify the identity (cos(x)+isin(x))^3=cos(3x)+isin(3x) so far i have completed the... (answered by Edwin McCravy)

What is the exact value of cos x = -1/3. Show work. This actually comes from a much... (answered by Fombitz)

How do I prove that (cos^3(x)+ sin^2(x)cos(x))/(cos(x))=tan(x) is an... (answered by ikleyn)

Good evening, I'm stuck on this question, sin(x)cos(x)cos(2x)=(sin(4x))/4 I've been... (answered by jsmallt9)

Factor completely: sin^3(x) + cos^3(x) Select one: a. (sin(x) + cos(x))(sin^2(x) -... (answered by Alan3354)

Solve the equation over the interval {0, 360). The answer to this problem, according... (answered by jim_thompson5910,ikleyn)

prove 2cot2xcosx=cscx-2sinx I tried starting on the left. My work is... (answered by addingup)