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)

Compute the slope of

f (x) = 17 tan (x)

x = \frac{π}{4} : 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}

5 x^{4} 25 - x^{2}

f (x) = (x + 2) 2 x - 3

\frac{\partial}{\partial y} (\frac{( x + y )}{( y + z )})

\frac{\partial}{\partial x} (\frac{x}{x ^{6} - y ^{3}})

\frac{d y}{d x} = 4 x + y, y (0) = 9

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