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

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

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

tangent of

f (x) = tan (x), at x = \frac{π}{4}

y = 2 x + 1 - \frac{π}{2}

Solution steps

Find the tangent point:

(\frac{π}{4}, 1)

Find the slope of

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

Find the line with slope m=

2

and passing through

(\frac{π}{4}, 1) : y = 2 x + 1 - \frac{π}{2}

y = 2 x + 1 - \frac{π}{2}

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