Question

Find all points on the graph of the function f(x) = 2 sin x + sin^2 x at which the tangent line is horizontal.

Answer 1

f'(x) = sin2x i know that much

Answer 2

quite not ..

Answer 3

try finding the deivative again...(for asker)

Answer 4

oh oh oh wait you're right hold up

Answer 5

i think it's better if you don't simplify f'(x)

Answer 6

nah i just didn't apply the product rule for the first term so i just had that as 0 but now i have f'(x) = 2 cos x sin 2 x

Answer 7

I MEAN 2 cos x + sin 2 x

Answer 8

ok, that's it... set = 0 to find your horizontal tangents...

Answer 9

uh rusty on trig run me through it

Answer 10

ok. your derivative is set to zero: 2cosx + sin2x = 0

Answer 11

this is just the same but the derivative is not simplified...
you can factor the left side of the equal sign...