What is the tangent of 4/x ?

The tangent of 4/x is y=-4/(a_{0)^2}x+8/(a_{0)}

Popular >

tangent of 4/x

tangent of

\frac{4}{x}

y = - \frac{4}{a _{0}^{2}} x + \frac{8}{a _{0}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, \frac{4}{a _{0}})

Find the slope of

y = \frac{4}{x} : \frac{d y}{d x} = - \frac{4}{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{4}{a _{0}^{2}}

Find the line with slope m=

- \frac{4}{a _{0}^{2}}

and passing through

(a_{0}, \frac{4}{a _{0}}) : y = - \frac{4}{a _{0}^{2}} x + \frac{8}{a _{0}}

y = - \frac{4}{a _{0}^{2}} x + \frac{8}{a _{0}}

\int_{0}^{\frac{π}{2}} - 5 cos^{5} (x) d x

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

n = 3 \sum \infty \frac{2}{n ( n + 3 )}

\frac{d h}{d t} = 4 - 16 t^{2}, h (1) = 0

x \to 1 + lim (\frac{8}{x ^{3} - 1})