What is the tangent of f(x)=2tan(x),\at x= pi/4 ?

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

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tangent of f(x)=2tan(x),\at x= pi/4

tangent of

f (x) = 2 tan (x), at x = \frac{π}{4}

y = 4 x + 2 - π

Solution steps

Find the tangent point:

(\frac{π}{4}, 2)

Find the slope of

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

Compute the slope of

f (x) = 2 tan (x)

x = \frac{π}{4} : m = 4

Find the line with slope m=

4

and passing through

(\frac{π}{4}, 2) : y = 4 x + 2 - π

y = 4 x + 2 - π

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

\frac{\partial}{\partial y} ((1 + x y) e^{x y})

n = 1 \sum \infty \frac{9 ^{n}}{1 0 ^{n}}

\int sec^{3} (8 x) d x

\int x^{2} 2 x + 5 d x

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