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Find the derivative of $x=\frac{\cos\left(y\right)}{\sin\left(y\right)}+\sin\left(y\right)\cos\left(y\right)$ 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

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

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

Calculus - Take the derivative using product rule with natural logarithms,, ln(y) = (x^2)ln(x)

https://www.youtube.com/watch?v=4TpfQj_Wj84

Calculus - Derivative of inverse function given an equation, f(x) = x^3 + 7x; Find g'(8)

https://www.youtube.com/watch?v=cPvUjcS7N9w

Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

https://www.youtube.com/watch?v=fG2HAWBNVNE

Calculus - How to use the chain rule with trigonometric functions, g(x) = sin(x^2)

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

 Main Topic: Definition of Derivative

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

 Related Topics

Definition of Derivative

Find the derivative of $x=\frac{\cos\left(y\right)}{\sin\left(y\right)}+\sin\left(y\right)\cos\left(y\right)$ 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))

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

Calculus - Take the derivative using product rule with natural logarithms,, ln(y) = (x^2)ln(x)

Calculus - Derivative of inverse function given an equation, f(x) = x^3 + 7x; Find g'(8)

Pre-Calculus - Graphing rational functions using 5 steps, g(x) = (-3x^2 + x + 12) / (x^2 - 4)

Calculus - How to use the chain rule with trigonometric functions, g(x) = sin(x^2)

Similar Problems Solved

 Main Topic: Definition of Derivative

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