What is the tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3 ?

The tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3 is y= 2/15 x+1/(5sqrt(3))-(2pi)/(45)

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tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3

tangent of

f (x) = \frac{sin ( x )}{5 + 5 cos ( x )}, at x = \frac{π}{3}

y = \frac{2}{15} x + \frac{1}{5 3} - \frac{2 π}{45}

Solution steps

Find the tangent point:

(\frac{π}{3}, \frac{1}{5 3})

Find the slope of

f (x) = \frac{sin ( x )}{5 + 5 cos ( x )} : \frac{df ( x )}{d x} = \frac{cos ( x ) ( 5 + 5 cos ( x ) ) + 5 sin ^{2} ( x )}{( 5 + 5 cos ( x ) ) ^{2}}

Compute the slope of

f (x) = \frac{sin ( x )}{5 + 5 cos ( x )}

x = \frac{π}{3} : m = \frac{2}{15}

Find the line with slope m=

\frac{2}{15}

and passing through

(\frac{π}{3}, \frac{1}{5 3}) : y = \frac{2}{15} x + \frac{1}{5 3} - \frac{2 π}{45}

y = \frac{2}{15} x + \frac{1}{5 3} - \frac{2 π}{45}

\frac{s + 1}{s ^{2} + 2 s + s}

\frac{\partial}{\partial x} (\frac{6 x}{y})

\int sin (π y) d y

\frac{\partial}{\partial x} (sin (x^{2} - y^{2}))

11 x^{2} - 4 x

What is the tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3 ?
The tangent of f(x)=(sin(x))/(5+5cos(x)),\at x= pi/3 is y= 2/15 x+1/(5sqrt(3))-(2pi)/(45)