6. Find * * ify = Inx. 7. y =f(x) = (1+ x2)2. Find f' and f. 8. y = f(x) = 120x - 4. Find f', f, f. Is x* = 0 a maximum, minimum or...

I would highly appreciate your help with a step by step explanation please and Thank you

6. Find * * ify = Inx.7. y =f(x) = (1+ x2)2. Find f' and f".8. y = f(x) = 120x - 4. Find f', f", f". Is x* = 0 a maximum, minimumor point of inflection?9. Find D for each of the following functions. Find and classify all criticalpoints of each function y = f(x).(a) f(x) = x3ex( b ) f ( ) = 2 2 2 2 2(c) f(x) = In(4 - 12)(d) f(x) = (ex - 1)(ex - 4)10. Suppose y(x) is implicitly defined by3xery - 2y - 312 - 92 = 0Approximate y(x) to first order around (x = 1, y = 0).