Question
In Exercises $13-16,$ estimate \Deltay using differentials $/ E q .$ (4) $J$ $$y=\frac{10-x^{2}}{2+x^{2}}, \quad a=1, \quad d x=0.01$$
Step 1
Using the quotient rule, we get \[y'=\frac{(2+x^{2})(-2x)-(10-x^{2})(2x)}{(2+x^{2})^{2}}.\] Show more…
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In Exercises $13-16,$ estimate $\Delta$y using differentials $[E q .(3)]$ $$y=\frac{10-x^{2}}{2+x^{2}}, \quad a=1, \quad d x=0.01$$
APPLICATIONS OF THE DERIVATIVE
Linear Approximation and Applications
In Exercises $13-16,$ estimate \Deltay using differentials $/ E q .$ (4) $J$ $$y=x^{1 / 3} e^{x-1}, \quad a=1, \quad d x=0.1$$
In Exercises $13-16,$ estimate $\Delta$y using differentials $[E q .(3)]$ $$y=x^{1 / 3} e^{x-1}, \quad a=1, \quad d x=0.1$$
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