Tough times never last, but tough people do. – Dr. Robert Schuller

Derivative of following basic functions and constants using first principle

\( \sqrt{x}, x^n, \) \(\frac{1}{x^n}, \log_e(x), \) \( e^x, \sin (x), \cos (x),\) \( \tan (x), \sec (x), \) \(\cosec (x), \cot (x) \)