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Exercise

$\frac{d}{dx}\left(x^y\right)=2$

Step-by-step Solution

1

The derivative $\frac{d}{dx}\left(x^y\right)$ results in $\frac{x^{\left(2y-1\right)}}{1-x^y\ln\left(x\right)}$

$\frac{x^{\left(2y-1\right)}}{1-x^y\ln\left(x\right)}=2$

Final answer to the exercise

$\frac{x^{\left(2y-1\right)}}{1-x^y\ln\left(x\right)}=2$

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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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