MATH 203 Study Guide - Midterm Guide: Binary Logarithm, Difference Quotient
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2 (x) + log do not approximate) (x -2) -3. Solve for x (find the exact values, (a) log (b)5x - 252x = 0 (a)let f(x) = ln(x2 + 1) and g(x) = -/x+l. J. ul. lvuj. v. lj. j and go g, and determine their domains. 3x , find the inverse r,- c . t-1. 3. (8 marks) find the limit or explain why the limit does not exist: Find the equations and vertical asymptotes. ( continued on the other side) Find the derivatives of the following the final answer, functions but you must show how (you don)t need to simplify you calculate (a) f(x) it): =sin(x) + tan(x) f(x)=e2+ex(x+x2) (c) ( d) f(x) arctan(l. J(x) = x2 + 2x : (a)calculate f" ( x) using its definition as a limit ( of difference. Check that your differentiation of power functio calculation is correct ns. using standard (b)compute the average rate of change of j(x) on the interval.
