Question

Find all x values at which the line tangent to the graph of the function f(x)=2sin^2(x) is horizontal

Answer 1

Find the derivative and set it equal to zero! then find the x values!

Answer 2

how do you do that? I'm soooo bad at this.

Answer 3

\[2\sin ^{2}(x) \prime = 4\sin x \cos x\]
Now set \[0 = 4 \sin x \cos x\]

Which means either \[0 = 4\] or \[0=sin x\] or \[0 = \cos x \]
Now get the values for x from those equations

Answer 4

how do I do that?

Answer 5

find the values of x where the graphs of sin(x) and cosine(x) is zero!
For example: sin(180) = 0 -> x = 180 is a solution!
you will see a pattern