# f(x) = 10 cos x + 5 sin 2x Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line. -there should be 3 (x , y) values from smallest to largest x value

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f(x) = 10 cos x + 5 sin 2x

Determine the points in the interval (0, 2π) at which the graph of the function below has a horizontal tangent line.

-there should be 3 (x , y) values from smallest to largest x value
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Step 1

For finding the points on a function f(x), at which, f(x) has horizontal tangent line, we need to find all x, for which f’(x)=0.

Step 2

Lets find all the points of the given function on interval (0, 2π), for which f’(x)=0. So first calcutale f’(x).

Step 3

Now solve for f&rs...

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