NYA-Test2-Winter2018.pdf

NYA-Test2-Winter2018.pdf - Dawson College Calculus 1...

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Dawson College Calculus 1 201-NYA-05 Test 2 Read every question very carefully and write your solutions legibly for what I cannot read will be considered incorrect. Show all your work step by step. Turn off your cell phone. 1) [3 Marks] State three different ways how a function fails to be differentiable and sketch three separate graphs to clarify each. 2) [16 Marks] Find the derivative of the following functions. You may NOT use logarithmic differentiation. DO NOT SIMPLIFY. a) ? ? = 5 ? (2 ? 3 + ? ) 8 b) ? ? = 7 −? 3 ? 2 −? c) ? ? = 1 ? 1 ? 3 4 d) ? ? = cos (2 ? ) ? +tan (2 ? ) e) ? ? = ln (arctan (7 ? 2 )) f) ? ? = sec 1 + 3 ? 2 5 g) ? ? = ? ?? cos 1 ( ?? ) h) ? ? = 7 3 ? sec ? 3 3) [6 Marks] Find ?? ?? by implicit differentiation. a) ? 2 cos ? + ?𝑖? 2 ? = 1 +
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