What is the tangent of f(x)=5tan(x),\at x= pi/3 ?

The tangent of f(x)=5tan(x),\at x= pi/3 is y=20x+5sqrt(3)-(20pi)/3

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tangent of f(x)=5tan(x),\at x= pi/3

tangent of

f (x) = 5 tan (x), at x = \frac{π}{3}

y = 20 x + 53 - \frac{20 π}{3}

Solution steps

Find the tangent point:

(\frac{π}{3}, 53)

Find the slope of

f (x) = 5 tan (x) : \frac{df ( x )}{d x} = 5 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 = 20

Find the line with slope m=

20

and passing through

(\frac{π}{3}, 53) : y = 20 x + 53 - \frac{20 π}{3}

y = 20 x + 53 - \frac{20 π}{3}

What is the tangent of f(x)=5tan(x),\at x= pi/3 ?
The tangent of f(x)=5tan(x),\at x= pi/3 is y=20x+5sqrt(3)-(20pi)/3