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MCV 4U Name ______________________________ ASSIGNMENTT DERIVATIVES EXPO TRIG____/33 Part 1 – Multiple Choice [1 mark each] _____ 1. π‘™π‘œπ‘”π‘’ 𝑝 is the same as a) π‘™π‘œπ‘”π‘’ 𝑝 b) 𝑝𝑒 c) 𝑒 𝑝 d) 𝑙𝑛𝑝 e) none of these _____ 2. If 𝑓(π‘₯) = 𝑠𝑖𝑛3 ⁑(6𝑑), then the derivative of f(x) is a) 18𝑠𝑖𝑛(6t) cos(6t)⁑⁑⁑⁑⁑⁑⁑⁑⁑⁑b) 3𝑠𝑖𝑛2 (6t) c) 18𝑠𝑖𝑛2 (6t)cos⁑(6t) d) βˆ’π‘ π‘–π‘›2 (6t)t e) none of these _____ 3. If 𝑓(π‘₯) = 𝑠𝑖𝑛⁑(π‘˜π‘₯), where k is a constant, then the derivative of f(x) is a) π‘˜cos⁑(π‘˜π‘₯) b) βˆ’π‘˜cos⁑(π‘˜π‘₯) c) βˆ’π‘˜cos⁑ π‘₯ d) π‘˜cos⁑ π‘₯ e) none of these _____ 4. The derivative of 𝑓(π‘₯) = βˆ’3cos⁑(6π‘₯) is a) βˆ’18cos⁑(6π‘₯) b) βˆ’9sin⁑(6π‘₯) c) 18sin⁑(6π‘₯) d) βˆ’3sin⁑(2π‘₯) e) none of these _____ 5. The derivative of 𝑓(π‘₯) = 23π‘₯ is a) 23π‘₯ 𝑙𝑛2(3) b) 63π‘₯ 𝑙𝑛2 c) 23π‘₯ 𝑙𝑛2 d) 23π‘₯βˆ’1 (3) e) none of these 2 _____ 6. The derivative of 𝑓(π‘₯) = 66π‘‘βˆ’2𝑑 is a) 66π‘‘βˆ’2𝑑 2 2 2 b) 66π‘‘βˆ’2𝑑 (6-4t) 2 c) 66π‘‘βˆ’2𝑑 (𝑙𝑛6) d) 66π‘‘βˆ’2𝑑 (𝑙𝑛6)(6 βˆ’ 4𝑑) e) none of these

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