Question

d/dx(1/a^2-x^2)=?

Answer 1

\[\frac{\partial \text{}}{\partial x}\left(\frac{1}{a^2}-x^2\right)????\]

Answer 2

no no no x^2 is subtract from a^2

Answer 3

\[2x/(a^2-x^2)^2\]

Answer 4

\[\int\limits \frac{2 x}{\left(a^2-x^2\right)^2} \, dx\]
\[2\int\limits \frac{x}{\left(a^2-x^2\right)^2} \, dx\]
\[Let ~~u=a^2-x^2~~and ~~du=-2 x~~dx\]
\[-\int\limits \frac{1}{u^2} \, du\]
\[\frac{1}{a^2-x^2}+c\]