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ioda
3 years ago
6

Use the MacLaurin series for f(x).

Mathematics
1 answer:
katrin [286]3 years ago
6 0
<span>y = tan^−1(x2/4)</span> tan(y) = x2/4 sec2(y) = x/2 y′ = xcos^2(y)/2 <span>cos^2(y) = <span>16x2+16</span></span> <span>y′ = <span>8x/(<span>x2+16)

let u be x2+16
du is 2x dx
dy = 4 du / u
 y = 4 ln (</span></span></span>x2 <span>+ 16)
 
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
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