Find the derivative using the quotient rule $\frac{1}{2\pi }\ln\left(\frac{10^2}{16\cdot \left(\frac{4613}{500000}\right)\cdot \left(\frac{9}{4}\right)}\right)+\frac{1}{\pi }\ln\left(\frac{3}{4}\cdot \frac{5}{6}\cdot \frac{7}{8}\right)$

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Calculus - Learn how to take derivative using quotient rule by simplifying first, f(x)=x(1- 4/(x+3))

https://www.youtube.com/watch?v=Mqjiw5Ax_4w

Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Negative powers differentiation | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=W233qRK6HPs

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Algebra 2 - Simplifying a rational exponent with a rational base, (4/3)^(-1/2)

https://www.youtube.com/watch?v=8s2xAi_B4uc

Calculus - Use quotient rule to take derivative with trigonometric functions, y=(1-cosx)/sinx

https://www.youtube.com/watch?v=BAa7KHPk7bA

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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