Leibniz rule (generalized product rule)

Leibniz Rule is a way of finding the derivative (or rate of change) of a function. It's like a shortcut to help us find out how a function changes over time. In Generalized Product Rule we use a formula to calculate the derivative of a product of two functions by multiplying the derivatives of each of these functions. So for example, if our two functions are:

f(x) = x^2 and g(x) = x^3

then we would use the Leibniz Rule formula to find the derivative of their product which is f(x) * g(x). We would use the formula:

Derivative of f(x)g(x)=(f'(x) * g(x)) + (f(x) * g'(x)).

So in this example, we would find the derivative of the product to be:

Derivative of (x^2 * x^3) = (2x * x^3) + (x^2 * 3x^2) = 6x^5.