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Leibniz rule

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Verify that the solution of u"=f(x), u(0)=0, u(1)=0 given by u(x)= the integration from 0 to 1 of k(x,y)f(y)dy. Use Leibniz rule.
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Solution Summary

This shows how to use the Leibniz rule to verify a solution.

See Also This Related BrainMass Solution

Exponential Derivatives of Composite Functions : Chain Rule and Leibnitz Notation

Please see the attached file for the fully formatted problems.

The Chain Rule states how to differentiate composite functions

If and be differentiable, then the derivative of the composite function is

In Leibnitz notation, if and , then .
For example,


The derivative of the exponential function is

6. Find .
7. Find

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