Find the derivative of $\left(\frac{3x-1}{\left(x^2+3\right)^3}\right)^2$ using the definition

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Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Calculus - Mulitiplying Rational Expressions, ((x^2 - 2x - 3)/(x^2 - 1)) . ((3x - 3)/(x^2 - 4x + 3))

https://www.youtube.com/watch?v=eB9q_okoWFA

Calculus - Evaluating a limit by factoring, lim(x tends to -1) (x^2 + 4x + 3)/(x + 1)

https://www.youtube.com/watch?v=klQ7xZ0PU5U

Calculus - How find the first derivative using a chart, 1/f(x) at x=1

https://www.youtube.com/watch?v=V5OROgIBnDc

Pre-Calculus - Using the square root method to solve a quadratic equation, (1/2)x^2 + 3 = 19

https://www.youtube.com/watch?v=dvE_W89LrqA

Algebra 2 - How to find the real zero of a cubic function, y = -1(x - 3)^3 + 1

https://www.youtube.com/watch?v=4dSA02Fzric

Main Topic: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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