What is the tangent of 5tan(x),\at x= pi/3 ?

The tangent of 5tan(x),\at x= pi/3 is y=20x+5sqrt(3)-(20pi)/3

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tangent of 5tan(x),\at x= pi/3

tangent of

5 tan (x), at x = \frac{π}{3}

y = 20 x + 53 - \frac{20 π}{3}

Solution steps

Find the tangent point:

(\frac{π}{3}, 53)

Find the slope of

y = 5 tan (x) : \frac{d y}{d x} = 5 sec^{2} (x)

Compute the slope of

y = 5 tan (x)

x = \frac{π}{3} : m = 20

Find the line with slope m=

20

and passing through

(\frac{π}{3}, 53) : y = 20 x + 53 - \frac{20 π}{3}

y = 20 x + 53 - \frac{20 π}{3}

\frac{d}{d x} (arctan (\frac{x}{y}))

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

\int_{0}^{1} e^{- 4 x} d x

\frac{d}{d x} (C e^{- 2 x})

\int 3^{s i n (x)} cos (x) d x

What is the tangent of 5tan(x),\at x= pi/3 ?
The tangent of 5tan(x),\at x= pi/3 is y=20x+5sqrt(3)-(20pi)/3