NorwegianStud
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Anyone bored enough to want to help me out with some calculus? I got to deliver this in 6 hours and can't work these out. Help would be SO much appreciated, I've been at it all night and can't make it out.
1. y^2 - e^sin(x) + xy = sin (x)* cos (y) +3
assume y= y(x) and find y ' (0)
2. Find Taylor polynom of 3rd degree(correct English word?) for x ln x IF x = 1 AND use this to approximate 2 Ln 2. Use the estimate in E3 to find an intervall that contains 2 Ln 2.
3. g(x) = Sin (x) / Cos3 (x).
Show that g(x) have an inverse function in the interval x∈ ( -π/2, π/2). What is D(g^-1)? (Looks like a D, can't find the right one)
AND find the (d/dx)g^-1(x) in the point x = 2. (hint: g(π/4 = 2) )
1. y^2 - e^sin(x) + xy = sin (x)* cos (y) +3
assume y= y(x) and find y ' (0)
2. Find Taylor polynom of 3rd degree(correct English word?) for x ln x IF x = 1 AND use this to approximate 2 Ln 2. Use the estimate in E3 to find an intervall that contains 2 Ln 2.
3. g(x) = Sin (x) / Cos3 (x).
Show that g(x) have an inverse function in the interval x∈ ( -π/2, π/2). What is D(g^-1)? (Looks like a D, can't find the right one)
AND find the (d/dx)g^-1(x) in the point x = 2. (hint: g(π/4 = 2) )