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

The tangent of f(x)=4tan(x),\at x= pi/4 is y=8x+4-2pi

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

tangent of

f (x) = 4 tan (x), at x = \frac{π}{4}

y = 8 x + 4 - 2 π

Solution steps

Find the tangent point:

(\frac{π}{4}, 4)

Find the slope of

f (x) = 4 tan (x) : \frac{df ( x )}{d x} = 4 sec^{2} (x)

Compute the slope of

f (x) = 4 tan (x)

x = \frac{π}{4} : m = 8

Find the line with slope m=

8

and passing through

(\frac{π}{4}, 4) : y = 8 x + 4 - 2 π

y = 8 x + 4 - 2 π

\int_{- 2}^{3} \frac{43}{x ^{4}} d x

- 5 x^{3}

y^{^{''}} - 4 y^{^{'}} - 12 y = sin (2 t) + t e^{4 t}

\int - \frac{t}{t ^{2} + 1} d t

\int \frac{2}{1 - 4 x ^{2}} d x

What is the tangent of f(x)=4tan(x),\at x= pi/4 ?
The tangent of f(x)=4tan(x),\at x= pi/4 is y=8x+4-2pi