Natural Logarithms
a) Prove that f(x)=x-ln x is increasing from x>1.
b) Using part (a), show that lnx < x if x>1
I don't know how to go about this to start it off, I would appreciate the help, and a few steps to get me started asap. Thank You
I know the formula for Linearization. I just did not know how to solve for it considering it had a definite integral.
I am confused with the first question that's why I asked for more input.
Thank You for the reply :)
Is there anything special about even differentiable function of x? Give reasons behind your answer.
and
Find the linearization of
g(x)= 3+ ∫sec(t-1)dt at x=-1
It is a definite intergral going from 1 to x^2.. a=1 b=x^2
I understand how to do regular linearization problems but with this...