If f(x)=\sin x+\cos x, what are the x-coordinates of the

Bronson Olson

Bronson Olson

Answered question

2022-04-21

If f(x)=sinx+cosx, what are the x-coordinates of the points of inflection of the graph f (x)?

Answer & Explanation

Sergio Kidd

Sergio Kidd

Beginner2022-04-22Added 14 answers

Step 1
Take the derivative of f(x)
f(x)=cos(x)sin(x)
Take the derivative of f(x)
f(x)=sin(x)cos(x)
Find when f(x)=0
0=sin(x)cos(x)
cos(x)=sin(x)
This happens when x=3π4+2πn where n is any integer.

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