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

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

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

tangent of

h (x) = \frac{7}{x}, 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

h (x) = \frac{7}{x} : \frac{d h ( x )}{d x} = - \frac{7}{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{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}

\frac{d}{d x} (- \frac{1}{2} e^{- \frac{x}{4}})

x \to 0 + lim (x lo g_{e} (x))

- 8 (64 e^{- 4 x^{2}} x^{3} - 24 e^{- 4 x^{2}} x)

\frac{t ^{2}}{2}

\int e^{- s t} (2 t + 1) d t

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