MATH 190 Study Guide - Midterm Guide: Ion, Antiderivative, Candi Of Indonesia
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None of the following are allowed: documents, cheat sheets or electronic devices of any kind (including calculators, cell phones, etc. ) Student conduct during examinations: each examination candidate must be prepared to produce, upon the request of the invigilator or examiner, his or her ubccard for identi- Justify your answers and show all your work. Unless otherwise indicated simpli cation of answers is not required: consider the following function. Compute the derivative of the function f (x). f (x) = 2x4 + Compute the general anti-derivative of the function f (x). Find the equation of the tangent line to at the point x = . 2 . f (x) = ex cos x. Find a function g(x) satisfying g( /4) = 1 such that g (x) = 2 sin x + 3 cos (2x). Find the derivative of f (x) = ln(cid:0)sin(cid:0)x2(cid:1)(cid:1) . 1 g(x) dx g(x) =(1, ex, x > 0 x 0.
