To find derivatives of the functions of the form [f(x)]g(x)
Procedure is:
Let y = [f(x)]g(x)
Take logarithms on both sides
Log y = g(x)*log [f(x)]
Differentiate w.r.t. x
(1/y)*dy/dx = g(x)*(1/f(x))*d(f(x))/dx + log [f(x)]*d[g(x)]/dx
Therefore dy/dx = (1/y)*[ g(x)*(1/f(x))*d(f(x))/dx + log [f(x)]*d[g(x)]/dx]
No comments:
Post a Comment