Question

dy/dx for y= ln(7x^3-x^2)

Answer 1

for ln(7x^3-2x^2)

I believe you use the chain rule: f'(g)g' (1)
so subtitute g in ln(g)

g=7x^3-2x^2 (2)
d/dx=21x^2-4x (3)

f=ln(x): d/dx=1/x (4)
using (1) above
1
--------- * 21x^2-4x
7x^3-2x^2

Now simplify etc

21x^2-4x
---------
7x^3-2x^2

(divide through by x)

21x-4
---------
7x^2-2x