Derivatives of Elementary Functions

The three basic derivatives of the algebraic, logarithmic/ exponential and trigonometric functions are derived from the fundamental principle of differentiation and are used as standard derivative formulas. They are as follows:

• If y = lnee x, then dy/dx = 1/x
• if y = logaa x, then dy/dx = 1/[(log a) x]
• If y = a ^x , dy/dx= a^x log a