What is the tangent of f(x)= 7/x ,7,\at x=5 ?

The tangent of f(x)= 7/x ,7,\at x=5 is y=-7/25 x+14/5

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tangent of f(x)= 7/x ,7,\at x=5

tangent of

f (x) = \frac{7}{x}, 7, at x = 5

y = - \frac{7}{25} x + \frac{14}{5}

Solution steps

Find the tangent point:

(5, \frac{7}{5})

Find the slope of

f (x) = \frac{7}{x} : \frac{df ( x )}{d x} = - \frac{7}{x ^{2}}

Compute the slope of

f (x) = \frac{7}{x}

x = 5 : m = - \frac{7}{25}

Find the line with slope m=

- \frac{7}{25}

and passing through

(5, \frac{7}{5}) : y = - \frac{7}{25} x + \frac{14}{5}

y = - \frac{7}{25} x + \frac{14}{5}

\int_{0}^{4} 2 π x x d x

\frac{d}{d x} (\frac{1}{1 + e ^{\frac{1}{x}}})

\int \frac{50}{( x + 1 ) ( x ^{2} + 9 ) ^{2}} d x

\frac{d}{d x} (\frac{d y}{d x}) + k^{2} y = a e^{- b x}

\frac{2}{s + 8}

What is the tangent of f(x)= 7/x ,7,\at x=5 ?
The tangent of f(x)= 7/x ,7,\at x=5 is y=-7/25 x+14/5