1. ## Basic calculus help

I am unable to catch the derivatives of some common functions like f(X) = 1/x, x^2............

In some problems derivatives of functions are cubes of x + squares of x...........

2. Originally Posted by rohith14
I am unable to catch the derivatives of some common functions like f(X) = 1/x, x^2............

In some problems derivatives of functions are cubes of x + squares of x...........

The golden rule of derivatives: for all $n\in\mathbb{R}\,,\,(x^n)'=nx^{n-1}$ (please note $n$ is REAL, not merely natural, integer or even rational: ANY real number)

For example, $(x^2)'=2x\,,\,(x^7)'=7x^6\,,\,\,\left(\frac{1}{x}\ right)'=\left(x^{-1}\right)'=(-1)x^{-2}=-x^{-2}=-\frac{1}{x^2}\,,$ $(\sqrt{x})'=(x^{1\slash 2})'=\frac{1}{2}x^{-1\slash 2}=\frac{1}{2\sqrt{x}}$ , ...etc.

Tonio

3. Then what about complex functions.

4. Originally Posted by rohith14