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blagie [28]
3 years ago
11

Let f of x equals the integral from x to 1 of the square root of the quantity of 1 plus t squared . use your calculator to find

f'(1)

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Analytically, it will be

-√(1+1²) = -√2

The calculator shows it to be -1.41421356237

_____

= -√2 to 12 significant digits.

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<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t
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\sqrt{12} \times\sqrt{12}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0

\sqrt{12}\sqrt{12}=12

=12

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