Find the values of x on the interval [−2π, 0]?
Find the values of x on the interval
[−2π, 0] where the tangent line to the graph of
y = sin(x) cos(x)
is horizontal
how can i do this???
thanks in advance
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Verified answer
Write the function as
y = 1/2 Sin 2x
Next, solve
dy/dx = 0 in the interval [−2π, 0]
dy/dx = Cos 2x
Solve Cos 2x = 0 for all x in [−2π, 0] to get the final answer