What is the tangent of f(x)=4(x-1/x)^4,\at x=2 ?

The tangent of f(x)=4(x-1/x)^4,\at x=2 is y= 135/2 x-459/4

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tangent of f(x)=4(x-1/x)^4,\at x=2

tangent of

f (x) = 4 (x - \frac{1}{x})^{4}, at x = 2

y = \frac{135}{2} x - \frac{459}{4}

Solution steps

Find the tangent point:

(2, \frac{81}{4})

Find the slope of

f (x) = 4 (x - \frac{1}{x})^{4} : \frac{df ( x )}{d x} = 16 (x - \frac{1}{x})^{3} (1 + \frac{1}{x ^{2}})

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 = \frac{135}{2}

Find the line with slope m=

\frac{135}{2}

and passing through

(2, \frac{81}{4}) : y = \frac{135}{2} x - \frac{459}{4}

y = \frac{135}{2} x - \frac{459}{4}

What is the tangent of f(x)=4(x-1/x)^4,\at x=2 ?
The tangent of f(x)=4(x-1/x)^4,\at x=2 is y= 135/2 x-459/4