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

The tangent of f(x)=x-4tan(x),\at x=(3pi)/4 is y=-7x+6pi+4

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

tangent of

f (x) = x - 4 tan (x), at x = \frac{3 π}{4}

y = - 7 x + 6 π + 4

Solution steps

Find the tangent point:

(\frac{3 π}{4}, \frac{3 π}{4} + 4)

Find the slope of

f (x) = x - 4 tan (x) : \frac{df ( x )}{d x} = 1 - 4 sec^{2} (x)

Compute the slope of

f (x) = x - 4 tan (x)

x = \frac{3 π}{4} : m = - 7

Find the line with slope m=

- 7

and passing through

(\frac{3 π}{4}, \frac{3 π}{4} + 4) : y = - 7 x + 6 π + 4

y = - 7 x + 6 π + 4

\int (- 6 sin (2 x) + 3 cos (3 x)) d x

\int_{- 1}^{1} 1 + 4 x^{2} d x

\int (x + \frac{3}{x}) d x

x \to - 1 lim ((1 + x)^{- 1})

\frac{\partial}{\partial x} (\frac{3 x - y}{( x + y ) ^{3}})

What is the tangent of f(x)=x-4tan(x),\at x=(3pi)/4 ?
The tangent of f(x)=x-4tan(x),\at x=(3pi)/4 is y=-7x+6pi+4