The second derivative is simply the derivative of the first derivative.

Second derivative refers to the derivative of first derivative of a function.

Second derivative, concavity and inflection points.

Discrete-time derivatives of the second derivative image representations are estimated.

The second derivative of a function is simply the derivative of the first derivative of the function.

Differentiate once more to find the second derivative:

We first calculate the first and second derivative of function f

(f' is the first derivative of f, f" is the second derivative etc.)

The Mechanical Significance of the Second Derivative 124

So the second derivative, whose notation I’ll explain in just a moment, is the derivative of the derivative.

The second derivative provides a readily apparent determination of when the steep slope occurs.

In one particular implementation, a spatial second derivative algorithm is used.

And acceleration is the derivative of velocity, or the second derivative of position.

Thus the acceptance of a fair gamble implies a positive second derivative.

Let’s repeat this process to find the second derivative.