MA 2113 Midterm: MATH 221 MSState math 221 Practice Exam 2
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Follow the instructions for each question and show enough of your work so that i can follow your thought process. If i can"t read your work or answer, you will receive little or no credit! For problems 1-4, nd the derivatives of the following functions with respect to the indicated independent variable: g( ) = sec( ) tan( , f (x) = cot(sec(x)) 3 cos(5 : tan(x) cos(y) 2x2 = sec2(x) + y cos(y) , here the function is de ned implicitly, so nd dy dx. 3: let y = 3 cos(x) tan2(x) . Find the equation of the tangent line at the point (0, 3) : a spotlight on the ground shines on a wall 12 m away. 4: let y = 4x + 9, nd dy, the di erential of y, when x = 0 and dx = 0. 08, find the exact values of sec(cid:18)arccos(cid:18) 1.
