What is the derivative of ln(\sqrt[4]{(x-9)/(x+9)}) ?

The derivative of ln(\sqrt[4]{(x-9)/(x+9)}) is 9/(2(x+9)\sqrt[4]{x-9)(x-9)^{3/4}}

What is the first derivative of ln(\sqrt[4]{(x-9)/(x+9)}) ?

The first derivative of ln(\sqrt[4]{(x-9)/(x+9)}) is 9/(2(x+9)\sqrt[4]{x-9)(x-9)^{3/4}}

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Solution steps

Apply the chain rule:

Simplify

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\frac{\partial}{\partial x} (- 6 e^{6 y} sin (6 x))

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5 y^{^{'}} - y = e^{- t} + 3 t

What is the derivative of ln(\sqrt[4]{(x-9)/(x+9)}) ?
The derivative of ln(\sqrt[4]{(x-9)/(x+9)}) is 9/(2(x+9)\sqrt[4]{x-9)(x-9)^{3/4}}
What is the first derivative of ln(\sqrt[4]{(x-9)/(x+9)}) ?
The first derivative of ln(\sqrt[4]{(x-9)/(x+9)}) is 9/(2(x+9)\sqrt[4]{x-9)(x-9)^{3/4}}