Question

Please help me with this calculus problem!



Write the steps to find the equation of the line that is tangent to the graph of y=2sin(x) + sin^2(x) at point (pi/6, 5/4)

i) Is the derivative of the sinusoidal function also periodic?
ii) Does this statement hold true for fifth derivatives?

Answer 1

y-(5/4)=m(x-(pi/6)) Would be the equation of the tangent line with m being the slope.
You find the slope by taking the derivative and plugging in the x coordinate in which in this case is pi/6

Answer 2

How do you find the derivative?

Answer 3

I mean, what do you find the derivative of?

Answer 4

I have to go, but find the derivative of 2sin(x) + sin^2(x) and plug in the x coordinate (pi/6) once you find it to find the slope.