How would I find the derivative of V(x) =ln (sin x) - (x^4 - 3x) ^10? I'm trying to understand calculus so if you could show me the steps and why, that
![Differentiate implicitly the function y= (sin x)^(ln x). General logarithmic exponential functions - YouTube Differentiate implicitly the function y= (sin x)^(ln x). General logarithmic exponential functions - YouTube](https://i.ytimg.com/vi/zPh_NU7YupU/maxresdefault.jpg)
Differentiate implicitly the function y= (sin x)^(ln x). General logarithmic exponential functions - YouTube
![ordinary differential equations - Solve $y'\sin x = y\ln y , y\left( \tfrac{\pi}{2} \right) = 1$ - Mathematics Stack Exchange ordinary differential equations - Solve $y'\sin x = y\ln y , y\left( \tfrac{\pi}{2} \right) = 1$ - Mathematics Stack Exchange](https://i.stack.imgur.com/xteVN.jpg)