What is the tangent of 2/(sqrt(x)) ?

The tangent of 2/(sqrt(x)) is y=-1/(a_{0)^{3/2}}x+3/(sqrt(a_{0))}

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tangent of 2/(sqrt(x))

tangent of

\frac{2}{x}

y = - \frac{1}{a _{0}^{\frac{3}{2}}} x + \frac{3}{a _{0}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, \frac{2}{a _{0}})

Find the slope of

y = \frac{2}{x} : \frac{d y}{d x} = - \frac{1}{x ^{\frac{3}{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{1}{a _{0}^{\frac{3}{2}}}

Find the line with slope m=

- \frac{1}{a _{0}^{\frac{3}{2}}}

and passing through

(a_{0}, \frac{2}{a _{0}}) : y = - \frac{1}{a _{0}^{\frac{3}{2}}} x + \frac{3}{a _{0}}

y = - \frac{1}{a _{0}^{\frac{3}{2}}} x + \frac{3}{a _{0}}

x \to 2 lim (x - 3)

\frac{d}{d v} (2 uv)

f (x) = (1 + 2 x)^{2}, 9, at x = 1

\int \frac{ln ^{2} ( 3 x )}{x} d x

\frac{\partial}{\partial x} (s u m)

What is the tangent of 2/(sqrt(x)) ?
The tangent of 2/(sqrt(x)) is y=-1/(a_{0)^{3/2}}x+3/(sqrt(a_{0))}