Derivative of a Rational Power

Rarely Tested

Derivative of a Rational Power

For:

$$y=u(x)^{p/q}$$

where the expression is defined in the real domain:

$$\frac{dy}{dx}=\frac{p}{q}u(x)^{\frac{p}{q}-1}u'(x)$$

Usage

- Used for roots and fractional powers of functions.

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