MATH 151 Engineering Math I, Spring 2014
JD Kim
Week9 Section 4.2, 4.3
Section 4.2 Inverse Functions
Denition
One-to-One
A function f with domain A is called a One-to-One function if no two elements
of A have the same image; that is
f (x1 ) = f (x2 ) when
MATH 151 Engineering Math I, Spring 2014
JD Kim
Week11 Section 4.6, 4.8, 5.1
Section 4.6 Inverse Trigonometric Functions
We have a diculty to nd a inverse trigonometric function, because the trigonometric functions are not one-to-one, they do not have a i
MATH 151 Engineering Math I, Spring 2014
JD Kim
Week10 Section 4.4, 4.5
Section 4.4 Derivatives of Logarithm Functions
We know that it is dierentiable because it is the inverse of the dierentiable
function y = ex .
1
d
ln x =
dx
x
Ex1) Find the derivative
MATH 151 Engineering Math I, Spring 2014
JD Kim
Week8 Section 3.11, 4.1
Section 3.11 Dierentials: Linear and Quadratic
Approximations
dy
We have used the Leibniz notation
to denote the derivative of y with respect
dx
to x, but we have regarded it as a sin