1)
Given function: \(\displaystyle y=a\sin(2x)+2\cos(x)\) between \(\displaystyle 0\leq x \leq \pi\)
The function has a stationary point on \(\displaystyle x=\frac{5}{6}\pi\)

A) Calculate a.
B) Find the vertex of the function in this domain.

1)
Given function: \(\displaystyle y=a\sin(2x)+2\cos(x)\) between \(\displaystyle 0\leq x \leq \pi\)
The function has a stationary point on \(\displaystyle x=\frac{5}{6}\pi\)

A) Calculate a.
B) Find the vertex of the function in this domain.

1)
Given function: \(\displaystyle y=a\sin(2x)+2\cos(x)\) between \(\displaystyle 0\leq x \leq \pi\)
The function has a stationary point on \(\displaystyle x=\frac{5}{6}\pi\)

A) Calculate a.
B) Find the vertex of the function in this domain.

i already found the a, a=1
my problem is with B.
i got:
\(\displaystyle y'=2\cos(2x)-2\sin(x)=0\)
but i dont getting \(\displaystyle \frac{5}{6}\pi\) as answer. (Crying)

i already found the a, a=1
my problem is with B.
i got:
\(\displaystyle y'=2\cos(2x)-2\sin(x)=0\)
but i dont getting \(\displaystyle \frac{5}{6}\pi\) as answer. (Crying)