If the derivative of a function, the first derivative, f'(x), is differentiated, a new function is obtained called the second derivative, f''(x).
If this function is differentiated again, a third derivative, f'''(x), is obtained.
If the third derivative, f'''(x), is differntiated, the fourth derivative, f'v(x), is obtained. This process can continue and these resultant functions are referred to as higher order derivatives.
Calculate the 1st, 2nd, 3rd and 4th derivatives of:
A general formula for all of the successive derivatives exists. This formula is called the nth derivative, f'n(x).
Calculate the nth derivative of: