zionschoolflvs zionschoolflvs

03-03-2018
Mathematics

contestada

Find f '(0.3) for f of x equals the integral from 0 to x of the arccosine of t, dt

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LammettHash LammettHash

15-04-2019

By the fundamental theorem of calculus,

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\int_0^x\cos^{-1}t\,\mathrm dt=\cos^{-1}x[/tex]

so that

[tex]f'(0.3)=\cos^{-1}0.3\approx1.266[/tex]

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