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Answer:
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. The functions that could probably have given function as a derivative are known as antiderivatives (or primitive) of the function. The formula that gives all these antiderivatives is called the indefinite integral of the function, and such process of finding antiderivatives is called integration
The first derivative could be written as;
(uv)’ = u’v+uv’
Now if we differentiate the above expression again, we get the second derivative;
(uv)’’
= [(uv)’]’
= (u’v+uv’)’
= (u’v)’+(uv’)’
= u′′v + u′v′ + u′ v′ + uv′′
= u′′v + 2u′v′ + uv′′
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bam-bamnguyen
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Answer:
The leibniz rule states that if two functions f(x) and g(x) are differentiable n times individually, then their product f(x). g(x) is also differentiable n times. These functions can be polynomial functions, trigonometric functions,exponential functions, or logarithmic functions.
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ramírezxzs0
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