Question

State and proof of Leibnitz's theorem
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Answer 1

Answer:

Leibnitz Theorem is basically the Leibnitz rule defined for derivative of the antiderivative. As per the rule, the derivative on nth order of the product of two functions can be expressed with the help of a formula.

Leibnitz Theorem Formula

Suppose there are two functions u(t) and v(t), which have the derivatives up to nth order. Let us consider now the derivative of the product of these two functions. This formula is known as Leibniz Rule formula and can be proved by induction.

Answer 2

Step-by-step explanation:

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