What is the leibnitz theorm
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: It provides a useful formula for computing the nth derivative of a product of two functions. Statement : If u and v are any two functions of x with un and vn as their nth derivative
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What is the formula of leibnitz theorm
you asked for defination not formula
first clear yourself with what you are asking
what is formula of leibnitz theorm G
The first derivative is described by the well known formula: (uv)′=u′v+uv′.
Differentiating this expression again yields the second derivative: (uv)′′=[(uv)′]′=(u′v+uv′)′=(u′v)′+(uv′)′=u′′v+u′v′+u′v′+uv′′=u′′v+2u′v′+uv′′.
the third derivative of the product uv: (uv)′′′=[(uv)′′]′=(u′′v+2u′v′+uv′′)′=(u′′v)′+(2u′v′)′+(uv′′)′=u′′′v+u′′v′+2u′′v′+2u′v′′+u′v′′+uv′′′=u′′′v+3u′′v′+3u′v′′+uv′′′.
nth terms
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