Let us take a function defined by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y=cx[/tex]

To differentiate that, we use the operator d/dx

[tex]\frac{d}{dx} y = \frac{d}{dx} cx^{-1}[/tex]

By the chain rule/implicit differentiation on the left and normal differentiation on the right we get,

[tex]\frac{dy}{dx} = -1c x^{-2}[/tex]

What confuses me is the proper usage of the formalism to get

[tex]\frac{d^2y}{dx^2} = 2cx^{-3}[/tex]

It doesn't seem that we can use the same operation as last time.

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# Properties of Differential Operator and Proper Formalism

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