Question

find the derivative of 9x^5/x-3
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Answer 1

9x^5/x-3

Using the quotient rule,

derivative of given expression is

[(x-3)45x^4 - 9x^5(1)]/(x-3)^2

[45x^5 - 135x^4 -9x^5]/(x-3)^2

[36x^5 - 135x^4]/(x-3)^2

9[4x^5 - 15x^4]/(x-3)^2

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