What is the tangent of \sqrt[4]{x}-x ?

The tangent of \sqrt[4]{x}-x is y=(1/(4a_{0)^{3/4}}-1)x+\sqrt[4]{a_{0}}-(a_{0}^{1/4})/4

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tangent of \sqrt[4]{x}-x

tangent of

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

Find the slope of

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}{4 a _{0}^{\frac{3}{4}}} - 1

Find the line with slope m=

\frac{1}{4 a _{0}^{\frac{3}{4}}} - 1

and passing through

What is the tangent of \sqrt[4]{x}-x ?
The tangent of \sqrt[4]{x}-x is y=(1/(4a_{0)^{3/4}}-1)x+\sqrt[4]{a_{0}}-(a_{0}^{1/4})/4