Tutorial9_Nov22.pdf - MATH1025 Introduction to Mathematics...

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MATH1025 Introduction to Mathematics and StatisticsIn-class exercises/Section 2/November 22NAME:STUDENTID:Question 1: You don’t need to simplify the solutions.(1) Use the product rule to differentiatef(x) = (2x5+x-1)(3x-2)(2) Use the quotient rule to differentiateg(x) =1-3xx2+2(3) Use the extended power rule to differentiateh(x) = (x4+ 2x2+ 1)3Question 2: Givenf(x) = 2x+ 3 andg(x) =-x2+ 5, find (fg)(x), (fg)(x) and (gf)(x).1
Question 3: Use the chain rule to find the derivative ofh(x) = (2x4-5x)7.Question 4:(a) Lety=x7, what isdydx?(b) What isddx(5x4-2x3-x2)?(c) Leth(x) =x52, what ish0(x)?(d) Leth(x) =1x11, what ish0(x)?(e) Leth(x) =1x2+1x+x, what ish0(x)?

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Term
Spring
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Derivative, Amelia

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