MA 125 Midterm: 1-11f-test3
Document Summary
Clearly write your answer in the space provided after each question. Show your work as much as possible and simplify your answer when possible. Di erentiate the function y = f (x) = ln(x3. Di erentiate the function y = f (x) = ex. Di erentiate the function y = f (x) = x3 arctan( x). Di erentiate the function y = f (x) = arcsin(3x). Find the linearization of f (x) = tan(x) at a = /4. Use newton"s method to nd the second approximate solution x2 to the equation cos(x) = tan(x) if x1 = /4. You must show your work on this part of the test to get full credit. Displaying only the nal answer (even if correct) without the relevant steps will not get full credit. Use logarithmic di erentiation to nd the derivative of y = (x2 + 1)x 3 x + 1 (3x2 + x)7.
