What is the tangent of f(x)= 1/(x^4) ?

The tangent of f(x)= 1/(x^4) is y=-4/(a_{0)^5}x+5/(a_{0)^4}

Popular >

tangent of f(x)= 1/(x^4)

tangent of

f (x) = \frac{1}{x ^{4}}

y = - \frac{4}{a _{0}^{5}} x + \frac{5}{a _{0}^{4}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, \frac{1}{a _{0}^{4}})

Find the slope of

f (x) = \frac{1}{x ^{4}} : \frac{df ( x )}{d x} = - \frac{4}{x ^{5}}

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}^{5}}

Find the line with slope m=

- \frac{4}{a _{0}^{5}}

and passing through

(a_{0}, \frac{1}{a _{0}^{4}}) : y = - \frac{4}{a _{0}^{5}} x + \frac{5}{a _{0}^{4}}

y = - \frac{4}{a _{0}^{5}} x + \frac{5}{a _{0}^{4}}

\int arccot (12 y) d y

x \to - 5 lim ((4 - x)^{\frac{3}{2}})

x \to 0 + lim (\frac{1}{1 + e ^{\frac{1}{x}}})

\frac{d}{d z} (y z e^{x z})

f (x) = 1 + 2 x

What is the tangent of f(x)= 1/(x^4) ?
The tangent of f(x)= 1/(x^4) is y=-4/(a_{0)^5}x+5/(a_{0)^4}