Question

Please help me answer that question

Answer 1

-1/x²

Explanation:

The derivative is the limit of the difference quotient as the interval approaches zero.

`\displaystyle (d)/(dx)\left((1)/(x)\right)=\lim_(h\to0)((1)/(x+h)-(1)/(x))/(h)=\lim_(h\to0)(x-(x+h))/(h(x)(x+h))=\lim_(h\to0)(-1)/(x(x+h))\\\\=\boxed{-(1)/(x^2)}`