Question

Let the function f(x) have the property that
f′(x)=(x+1)/(x−3). If g(x)=f(x^2)
FIND g′(x).

Answer 1

\[g'(x)=f' (x^2)*2x\]

Answer 2

now we need f ' (x^2)

Answer 3

so replace x by x^2 in f ' (x)

Answer 4

f ' (x^2)= \[\frac{ x^2+1 }{ x^2-3 }\]

Answer 5

now put this value in g ' (x) that is our solution