MATH 140 Quiz: MATH 140 Quiz 3 Summer
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2 Oct 2018
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A quiz based on two of the following questions will be given in class on thursday. Think of these questions as a very helpful pre-test. Only the quiz will be marked, do not hand in solutions to these questions. Full marks will be awarded for complete solutions, the correct answer is only worth a portion of the marks. (cid:16) (cid:17) 16x2 12x + 2 + 4x: using the limit de nition of the derivative and techniques seen in lecture, show that cos(x) = sin(x). d dx. The argument looks very similar to what was done for the derivative of sin(x). Hint: cos(a + b) = cos(a) cos(b) sin(a) sin(b). Find an equation for the line which is tangent to f (x) = x2 sin(x) x at (2 , 2 )
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