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Md. Abde Mannaf

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Member warned to not post homework questions in this forum section

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- Thread starter Md. Abde Mannaf
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In summary, the conversation discusses using integration by parts and induction to solve a problem. The person initially struggles to solve it, but is given a useful link and suggestion to work out the case when ##m=1##. They are able to solve it and the concept is deemed useful.

- #1

Md. Abde Mannaf

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Member warned to not post homework questions in this forum section

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fzero

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I would suggest using integration by parts and induction.

- #3

Md. Abde Mannaf

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i try. bt connot solve it. can you give me useful link or suggestionfzero said:I would suggest using integration by parts and induction.

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fzero

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Can you work out the case when ##m=1##?

- #5

Md. Abde Mannaf

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yes. when m=1 then value is = -1/(p+1)^2fzero said:Can you work out the case when ##m=1##?

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fzero

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- #7

Md. Abde Mannaf

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your concept is very useful. thank you. i solve it. thank you very much again.fzero said:

Leibniz Rule, also known as the Product Rule, is a method used in calculus to find the derivative of a product of two functions. It states that the derivative of a product of two functions is equal to the first function multiplied by the derivative of the second function, plus the second function multiplied by the derivative of the first function.

Leibniz Rule is most commonly used when you need to find the derivative of a product of two functions. It is particularly useful when one or both of the functions cannot be easily differentiated using other rules, such as the Power Rule or Chain Rule.

The steps for using Leibniz Rule are as follows: 1) Identify the two functions in the product, 2) Differentiate each function separately using the appropriate rules, 3) Multiply the first function by the derivative of the second function, 4) Multiply the second function by the derivative of the first function, and 5) Add the two results together to get the final answer.

Yes, Leibniz Rule can be used to find higher order derivatives. To do this, you would simply apply the rule multiple times, using the previous result as one of the functions in the product.

Yes, there are several other rules that can be used to find derivatives in calculus. Some of the most commonly used rules include the Power Rule, Chain Rule, and Quotient Rule. These rules can be used in combination with each other to solve more complex problems.

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