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

The tangent of f(x)=-4tan(x)-1,\at x=-pi/4 is y=-8x+3-2pi

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

tangent of

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

y = - 8 x + 3 - 2 π

Solution steps

Find the tangent point:

(- \frac{π}{4}, 3)

Find the slope of

f (x) = - 4 tan (x) - 1 : \frac{df ( x )}{d x} = - 4 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 = - 8

Find the line with slope m=

- 8

and passing through

(- \frac{π}{4}, 3) : y = - 8 x + 3 - 2 π

y = - 8 x + 3 - 2 π

What is the tangent of f(x)=-4tan(x)-1,\at x=-pi/4 ?
The tangent of f(x)=-4tan(x)-1,\at x=-pi/4 is y=-8x+3-2pi