What is the tangent of f(x)=17tan(x),\at x= pi/4 ?

The tangent of f(x)=17tan(x),\at x= pi/4 is y=34x+17-(17pi)/2

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tangent of f(x)=17tan(x),\at x= pi/4

tangent of

f (x) = 17 tan (x), at x = \frac{π}{4}

y = 34 x + 17 - \frac{17 π}{2}

Solution steps

Find the tangent point:

(\frac{π}{4}, 17)

Find the slope of

f (x) = 17 tan (x) : \frac{df ( x )}{d x} = 17 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 = 34

Find the line with slope m=

34

and passing through

(\frac{π}{4}, 17) : y = 34 x + 17 - \frac{17 π}{2}

y = 34 x + 17 - \frac{17 π}{2}

What is the tangent of f(x)=17tan(x),\at x= pi/4 ?
The tangent of f(x)=17tan(x),\at x= pi/4 is y=34x+17-(17pi)/2