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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CAT Formulas
Applications of Derivatives
Derivative of a Rational Power
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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