In taking derivatives, constants become while the independent variable (e.g., ) becomes . This expresses the fact that while changes in direct proportion to a change in itself (by a factor of ), a constant simply does not change. In symbols,
I have a small question. I have to take the derivative of
y=(ln(x)+c)/x
i know i have to use the quotient rule but i dont know what to do with the derivative of c. Do i turn it into a one or drop ot all together. I am doing a diffyQ problem and that equation has to be a solution of
(x^2)y'+xy=1
i keep getting 1+x=1 so i think the "c" is messing me up.
Thanks for any help that anyone can provide