What is the tangent of f(x)=4x+6/x ,(5,21.2) ?

The tangent of f(x)=4x+6/x ,(5,21.2) is y= 94/25 x+2.4

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tangent of f(x)=4x+6/x ,(5,21.2)

tangent of

f (x) = 4 x + \frac{6}{x}, (5, 21.2)

y = \frac{94}{25} x + 2.4

Solution steps

Find the slope of

f (x) = 4 x + \frac{6}{x} : \frac{df ( x )}{d x} = 4 - \frac{6}{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{94}{25}

Find the line with slope m=

\frac{94}{25}

and passing through

(5, 21.2) : y = \frac{94}{25} x + 2.4

y = \frac{94}{25} x + 2.4

What is the tangent of f(x)=4x+6/x ,(5,21.2) ?
The tangent of f(x)=4x+6/x ,(5,21.2) is y= 94/25 x+2.4