Advanced calculus proof

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Start date Feb 28, 2009
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In summary, advanced calculus proof is a method used to prove the validity of advanced calculus concepts and theorems through logical reasoning and mathematical principles. It is important to understand in order to deepen understanding, develop critical thinking skills, and apply concepts accurately in various fields. The key components of a advanced calculus proof include a statement of the theorem, assumptions or known facts, logical steps and equations, and a conclusion. To improve skills, regular practice and seeking guidance from experts is recommended, along with a strong foundation in basic calculus and algebra. Advanced calculus proof can also be applied in real-life situations, such as in physics, engineering, economics, and computer science to solve complex problems and advance technologies.

Feb 28, 2009

a1010711

Homework Statement

let L(x)= integral from 1 to x: 1/t dt. Show that L:]0,infinity[--->R is continuously differentiable. show that L(xy)=L(x)+L(y) for all x,y in ]0,infinity[.

hint: let L1(x)=L(xy) and compute L'1(x)

you don't have to solve it for me, just lead me in the right direction please

Last edited: Feb 28, 2009

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Feb 28, 2009

quantumdude

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Related to Advanced calculus proof

1. What is advanced calculus proof?

Advanced calculus proof is a mathematical method used to prove the validity of advanced calculus concepts and theorems. It involves using logical reasoning and mathematical principles to demonstrate the truth of a statement or equation.

2. Why is it important to understand advanced calculus proof?

Understanding advanced calculus proof allows for a deeper understanding of advanced calculus concepts and the ability to apply them accurately in various mathematical and scientific fields. It also helps to develop critical thinking and problem-solving skills.

3. What are the key components of a advanced calculus proof?

A advanced calculus proof typically includes a statement of the theorem to be proven, a list of given assumptions or known facts, a series of logical steps and equations using mathematical principles, and a conclusion that follows from the previous steps.

4. How can I improve my skills in advanced calculus proof?

Practicing regularly and seeking guidance from experienced mathematicians or educators can help improve skills in advanced calculus proof. It is also important to have a strong foundation in basic calculus and algebra.

5. Can advanced calculus proof be used in real-life applications?

Yes, advanced calculus proof is commonly used in various fields such as physics, engineering, economics, and computer science to prove and solve complex problems and equations. It is also used in research and development to improve and advance technologies and systems.