What is the tangent of f(x)=3tan(3x),\at x= pi/(18) ?

The tangent of f(x)=3tan(3x),\at x= pi/(18) is y=12x+sqrt(3)-(2pi)/3

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tangent of f(x)=3tan(3x),\at x= pi/(18)

tangent of

f (x) = 3 tan (3 x), at x = \frac{π}{18}

y = 12 x + 3 - \frac{2 π}{3}

Solution steps

Find the tangent point:

(\frac{π}{18}, 3)

Find the slope of

f (x) = 3 tan (3 x) : \frac{df ( x )}{d x} = 9 sec^{2} (3 x)

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = 12

Find the line with slope m=

12

and passing through

(\frac{π}{18}, 3) : y = 12 x + 3 - \frac{2 π}{3}

y = 12 x + 3 - \frac{2 π}{3}

d er i v a t i v e f (x) = (8 x (x^{2} + 6)^{3})

\int 3 x^{2} e^{4 x^{3}} d x

\int_{- 2}^{1} x^{2} e^{x^{3} + 8} d x

y^{^{'}} + 3 y = 1 - 6 e^{- 2 x}

\int x^{2} \cdot 6^{x^{3}} d x

What is the tangent of f(x)=3tan(3x),\at x= pi/(18) ?
The tangent of f(x)=3tan(3x),\at x= pi/(18) is y=12x+sqrt(3)-(2pi)/3