Hi guys, I am currently finishing my Calculus 1 course and got stuck in this last exercise. I couldn`t find any similar examples on google and tried to do it in many ways and had no success.
I dont know what to do. I guess I have to put the ln (x) in front. Ive already tried putting ln in both sides but for some reason its also wrong... What am I suppose to do with the exponent ln (x)?
Well, I tried doing this method and I got it wrong. Please let me know if I made a mistake. Ill continue from where you started:
dy/dx = 1/x * 1/(x^4 + 7) = 1/x^5 + 7x
d/dx = y (1/x^5 + 7x)
Thats what i did and I still got it wrong... I REALLY dot know what m I doing wrong as Im trying to finish this exercise for hours... Maybe it is someting in the algebra? I really dont know
Thanks a lot mate!
The RHS is a product of functions, so you need to use the Product Rule to differentiate. One of the terms also requires using the Chain Rule.
Since f is a function of x, it's a composition of functions, so you need to use the Chain Rule to differentiate the LHS.