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+?)8b)? ? = 7−?3?2−?c)? ? =1?−1?34d)? ? =cos(2?)?+tan(2?)e)? ? = ln(arctan(7?2))f)? ? =sec1 + 3?25g)? ? =???cos−1(??)h)? ? = 73?sec?33)[6 Marks] Find ????by implicit differentiation. a)?2cos?+?𝑖? 2? = 1 +
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