- #1
Elias Waranoi
- 45
- 2
I went through an example question that showed me how to solve the question but I'm not sure if I've misunderstood something or if they did a mistake.
Question: Derivate y = (1/ax)ax
ln(y) = ln( (1/ax)ax ) = ax( ln(1) - ln(ax) ) = -ax ln(ax)
(1/y)(dy/dx) = -ax * ax ln(a) - a * ln(ax)
dy/dx = (1/ax)ax * (-ax * ax ln(a) - a * ln(ax))
I think that they are derivating -ax ln(ax) as a product of two functions with u*(dv/dx) + v*(du/dx) where u = -ax and v = ln(ax). But isn't (dv/dx) supposed to be only ln(a)? So dy/dx = (1/ax)ax * (-ax * ln(a) - a * ln(ax))
Question: Derivate y = (1/ax)ax
ln(y) = ln( (1/ax)ax ) = ax( ln(1) - ln(ax) ) = -ax ln(ax)
(1/y)(dy/dx) = -ax * ax ln(a) - a * ln(ax)
dy/dx = (1/ax)ax * (-ax * ax ln(a) - a * ln(ax))
I think that they are derivating -ax ln(ax) as a product of two functions with u*(dv/dx) + v*(du/dx) where u = -ax and v = ln(ax). But isn't (dv/dx) supposed to be only ln(a)? So dy/dx = (1/ax)ax * (-ax * ln(a) - a * ln(ax))