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Find the derivative of $x\sqrt{1+y}+\sqrt{y\left(1+2x\right)}=2x$ using the definition

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 Solution

 Videos

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

Algebra 2 - When Complex numbers are equal to each other, 5x + 1 + (3 + 2y)i = 2x - 2 + (y - 6)i

https://www.youtube.com/watch?v=avJ0qL4VO6o

Algebra 2 - Sketch the graph of a factored polynomial using multiplicity, y = (x - 1)(x + 1)(x - 3)

https://www.youtube.com/watch?v=nJigkPDcwG4

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Algebra 2 - Finding the vertex of a quadratic function y = 2x^2 + 2x + 1

https://www.youtube.com/watch?v=V2udel2WylU

Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=KyYC8XzKsHU

 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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Definition of Derivative

Find the derivative of $x\sqrt{1+y}+\sqrt{y\left(1+2x\right)}=2x$ using the definition

Related Videos

 Solution

 Videos

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

Algebra 2 - When Complex numbers are equal to each other, 5x + 1 + (3 + 2y)i = 2x - 2 + (y - 6)i

Algebra 2 - Sketch the graph of a factored polynomial using multiplicity, y = (x - 1)(x + 1)(x - 3)

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

Algebra 2 - Finding the vertex of a quadratic function y = 2x^2 + 2x + 1

Worked example: Evaluating derivative with implicit differentiation | AP Calculus AB | Khan Academy

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 Main Topic: Definition of Derivative

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