What is the tangent of f(x)=3tan(x),\at x= pi/4 ?

The tangent of f(x)=3tan(x),\at x= pi/4 is y=6x+3-(3pi)/2

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tangent of f(x)=3tan(x),\at x= pi/4

tangent of

f (x) = 3 tan (x), at x = \frac{π}{4}

y = 6 x + 3 - \frac{3 π}{2}

Solution steps

Find the tangent point:

(\frac{π}{4}, 3)

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}{4} : m = 6

Find the line with slope m=

6

and passing through

(\frac{π}{4}, 3) : y = 6 x + 3 - \frac{3 π}{2}

y = 6 x + 3 - \frac{3 π}{2}

x \to 3 + lim (\frac{6}{x - 3})

f (x) = 6 e^{x} cos (x), at x = 0

sin (2 x) cos (2 x)

\frac{d}{d x} (50 e^{4 x} + 300 e^{- 3 x})

\frac{\partial}{\partial x} (x^{2} e^{y})

What is the tangent of f(x)=3tan(x),\at x= pi/4 ?
The tangent of f(x)=3tan(x),\at x= pi/4 is y=6x+3-(3pi)/2