What is the tangent of y= 7/(sqrt(x)) ?

The tangent of y= 7/(sqrt(x)) is y=-7/(2a_{0)^{3/2}}x+(21)/(2sqrt(a_{0))}

Popular >

tangent of y= 7/(sqrt(x))

tangent of

y = \frac{7}{x}

y = - \frac{7}{2 a _{0}^{\frac{3}{2}}} x + \frac{21}{2 a _{0}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, \frac{7}{a _{0}})

Find the slope of

y = \frac{7}{x} : \frac{d y}{d x} = - \frac{7}{2 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{7}{2 a _{0}^{\frac{3}{2}}}

Find the line with slope m=

- \frac{7}{2 a _{0}^{\frac{3}{2}}}

and passing through

(a_{0}, \frac{7}{a _{0}}) : y = - \frac{7}{2 a _{0}^{\frac{3}{2}}} x + \frac{21}{2 a _{0}}

y = - \frac{7}{2 a _{0}^{\frac{3}{2}}} x + \frac{21}{2 a _{0}}

\frac{\partial}{\partial x} (x^{2} (x - 2)^{4})

x^{2} y^{^{''}} + 3 x y^{^{'}} - 3 y = 0, y (1) = 0, y^{^{'}} (1) = 5

\int_{0}^{\frac{π}{4}} x sin (12 x) d x

\int \frac{4}{3 x ^{2}} d x

y^{^{''}} - 4 y^{^{'}} - 5 y = - 2, y (0) = 0, y^{^{'}} (0) = 0

What is the tangent of y= 7/(sqrt(x)) ?
The tangent of y= 7/(sqrt(x)) is y=-7/(2a_{0)^{3/2}}x+(21)/(2sqrt(a_{0))}