Tutorial02W_Ans.pdf - MAT133Y5Y Tutorial 01 - Winter 2020...

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MAT133Y5YTutorial 01 - Winter 2020January 20 - 24, 20201. For each of the following functions, find a general formula for thenth derivative for anynN.(a)f(x) =e4x(b)g(s) = ln(1-s)(c)h(z) =zez(d)(w) =wln(w)(e)p(u) = loga(u) (a >1)(f)m(v) =akv,(a >1, kR)(g)r(t) =tm, (mN)2. By any means necessary to you, determine the derivatives of the following functions:(a)f(x) = (x-1)(x-2)2(x-3)3(x-4)4(x-5)5(b)g(s) =es(s+ 3) ln(s)s4(s2+ 2)(c)h(z) =zz+ 1(d)(w) = (ww)w(e)p(u) =u(uu)(f)m(v) =α(v)α(v)+β(v)β(v),α, βdifferentiable and positive.1
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