What is the tangent of y=4cos(x),(pi/3 ,2) ?

The tangent of y=4cos(x),(pi/3 ,2) is y=-2sqrt(3)x+2+(2pi)/(sqrt(3))

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tangent of y=4cos(x),(pi/3 ,2)

tangent of

y = 4 cos (x), (\frac{π}{3}, 2)

y = - 23 x + 2 + \frac{2 π}{3}

Solution steps

Find the slope of

y = 4 cos (x) : \frac{d y}{d x} = - 4 sin (x)

Compute the slope of

y = 4 cos (x)

(\frac{π}{3}, 2) : m = - 23

Find the line with slope m=

- 23

and passing through

(\frac{π}{3}, 2) : y = - 23 x + 2 + \frac{2 π}{3}

y = - 23 x + 2 + \frac{2 π}{3}

- x^{- 2} e^{\frac{1}{x}}

5 + 4 x^{2} - 2 x^{3}

\frac{x}{8} - \frac{8}{x}

y^{^{''}} - 7 y^{^{'}} + 6 y = 0

What is the tangent of y=4cos(x),(pi/3 ,2) ?
The tangent of y=4cos(x),(pi/3 ,2) is y=-2sqrt(3)x+2+(2pi)/(sqrt(3))