What is the tangent of f(x)=1-2tan(x),\at x=(3pi)/4 ?

The tangent of f(x)=1-2tan(x),\at x=(3pi)/4 is y=-4x+3+3pi

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tangent of f(x)=1-2tan(x),\at x=(3pi)/4

tangent of

f (x) = 1 - 2 tan (x), at x = \frac{3 π}{4}

y = - 4 x + 3 + 3 π

Solution steps

Find the tangent point:

(\frac{3 π}{4}, 3)

Find the slope of

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

Find the line with slope m=

- 4

and passing through

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

y = - 4 x + 3 + 3 π

y = x^{3} - 15 x

x^{2} = y^{3}, x = 2 y

\frac{d}{d x} (e^{k t a n (5 x)})

\int \frac{x ^{2} - 4 x + 7}{x ^{3} - x ^{2} + x + 3} d x

x \to 0 + lim (ln (x + 1))

What is the tangent of f(x)=1-2tan(x),\at x=(3pi)/4 ?
The tangent of f(x)=1-2tan(x),\at x=(3pi)/4 is y=-4x+3+3pi