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

The tangent of 3tan(x),\at x= pi/3 is y=12x+3sqrt(3)-4pi

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

tangent of

3 tan (x), at x = \frac{π}{3}

y = 12 x + 33 - 4 π

Solution steps

Find the tangent point:

(\frac{π}{3}, 33)

Find the slope of

y = 3 tan (x) : \frac{d y}{d x} = 3 sec^{2} (x)

Compute the slope of

y = 3 tan (x)

x = \frac{π}{3} : m = 12

Find the line with slope m=

12

and passing through

(\frac{π}{3}, 33) : y = 12 x + 33 - 4 π

y = 12 x + 33 - 4 π

\frac{d}{d θ} (2 sin (θ) + 2 cos (θ))

(9.5) (21.1)

\frac{d ^{2}}{d x ^{2}} (5 (x^{2} + 3 x)^{3})

\frac{d}{d x} (\frac{- sin ( x )}{2})

\int \frac{2 x - 1}{1 - x ^{2}} d x

What is the tangent of 3tan(x),\at x= pi/3 ?
The tangent of 3tan(x),\at x= pi/3 is y=12x+3sqrt(3)-4pi