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(Solved): (10 points) For the function y=x2+3 find: a) the differential dy; b) evaluate dy when x=3 and dx ...

$(10 points) For the function \( y=\sqrt{x^{2}+3} \) find: a) the differential \( d y \); b) evaluate \( d y \) when \( x=3 \)$

(10 points) For the function

y = x^{2} + 3

find: a) the differential

d y

; b) evaluate

d y

when

x = 3

and

d x = ? 0.02

.

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Use axn=axn to rewrite x2+3 as (x2+3)12.ddx[(x2+3)12]Differentiate using the chain rule, which states that ddx[f(g(x))] is f?(g(x))g?(x) where f(x)=x1

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