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Calculus - Finding Derivatives

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Question:
Derive the formula for the derivatives of the functions
(1) x^n
(2) x/(2x-3)

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Solution Summary

Solution to the posted problems is presented with step by step explanation and all the working.
Students can easily understand the presented solutions and apply the procedure to solve other similar problems.

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The answer for (a) is nx^(n-1)
The answer for (d) is (-1/2)x^(-3/2)
The answer for (g) is -3/(2x-3)^2

The detailed step by step solution is given in the attached file.

Solution for (a):

Let
f(x) = xn ....................(1)
where n is a positive integer.

Then ...

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