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Find the derivative of $\ln\left(x^5\left(x+9\right)^2\left(x^2+4\right)^5\right)$ using the constant rule

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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 - 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 - Describe and solve for the zeros using quadratic formula x^2 - 4x + 40 = 0

https://www.youtube.com/watch?v=1tzMPeAmo1Q

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

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

Algebra 2 - Graphing a parabola by using the transformations 2(x+3)^2 + 4

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

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

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

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Main Topic: Constant Rule for Differentiation

The constant rule for differentiation says that the derivative for any constant $k$ is equal to zero.

Used Formulas

See formulas (1)

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