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

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

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

tangent of

f (x) = 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

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

Compute the slope of

f (x) = 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

\int_{- \infty}^{0} x d x

\frac{1}{2} \cdot \frac{d y}{d x} = \frac{2 x}{3 y}

\frac{d ^{2}}{d x ^{2}} (3 e^{x^{2}})

\int (x - 1) e^{x^{2} - 2 x} d x

\frac{1}{2} t

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