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

The tangent of f(x)= 3/x ,\at x=5 is y=-3/25 x+6/5

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

tangent of

f (x) = \frac{3}{x}, at x = 5

y = - \frac{3}{25} x + \frac{6}{5}

Solution steps

Find the tangent point:

(5, \frac{3}{5})

Find the slope of

f (x) = \frac{3}{x} : \frac{df ( x )}{d x} = - \frac{3}{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{3}{25}

Find the line with slope m=

- \frac{3}{25}

and passing through

(5, \frac{3}{5}) : y = - \frac{3}{25} x + \frac{6}{5}

y = - \frac{3}{25} x + \frac{6}{5}

\frac{d}{d t} (\frac{1}{1 + t ^{12}})

f (x) = (2 x^{2} - 4) - 1

\int (x + sin (x)) d x

\frac{d ^{2}}{d x ^{2}} (e^{3 e^{x}})

\int e^{x} tan^{4} (e^{x}) d x

What is the tangent of f(x)= 3/x ,\at x=5 ?
The tangent of f(x)= 3/x ,\at x=5 is y=-3/25 x+6/5