Question 5 It is given that y=ln(1+sinx). (a) Find dxdy​. (2) (b) Show that dx2d2y​=−e−y. (2) (c) Express dx4d4y​ in ter

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Question 5 It is given that y=ln(1+sinx). (a) Find dxdy​. (2) (b) Show that dx2d2y​=−e−y. (2) (c) Express dx4d4y​ in ter

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Question 5 It Is Given That Y Ln 1 Sinx A Find Dxdy 2 B Show That Dx2d2y E Y 2 C Express Dx4d4y In Ter 1
Question 5 It Is Given That Y Ln 1 Sinx A Find Dxdy 2 B Show That Dx2d2y E Y 2 C Express Dx4d4y In Ter 1 (31.63 KiB) Viewed 38 times
Question 5 It is given that y=ln(1+sinx). (a) Find dxdy​. (2) (b) Show that dx2d2y​=−e−y. (2) (c) Express dx4d4y​ in terms of dxdy​ and e−y. (3) (d) Hence, by using Maclaurin's theorem, find the first four non-zero terms in the expansion, in ascending powers of x, of ln(1+sinx). (3)
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