# Second Derivative

The derivative of a function is also a function. If f(x) is differentiable then f'(x) is also a function of x. If f'(x) is also differentiable, then we can find its derivative function as well which is denoted by f"(x). Thus the process of differentiation can be continued successively as long as each derivative in the sequence is differentiable. The higher order derivatives so found by repeated differentiation play an important role in the study and application of Calculus

The second derivative is the derivative function of the first derivative and it is denoted by f"(x). Second derivative is used determining the Extreme values of the functions and its concavity.**In general, the second derivative can be interpreted as the rate of change
of rate of change.** If s (t) the position of a moving particle a
function of t, then the velocity v(t) is given by the first derivative
s'(t) and the acceleration a(t) by the second derivative s"(t).