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Asked Oct 14, 2019
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4. Assume that all variables are implicit functions of time t. Find the indicated rate.
dx
=4 when x 2 and y = - 2; find
dt
dy
x2 +3y2+4y 8;
dy
(Simplify your answer.)
=
dt
히히
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4. Assume that all variables are implicit functions of time t. Find the indicated rate. dx =4 when x 2 and y = - 2; find dt dy x2 +3y2+4y 8; dy (Simplify your answer.) = dt 히히

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Expert Answer

Step 1

Differentiating the given equation:

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x2+3y Differentiating both sides wrt 6 +4 dy = ( dt dt dc or, 2x dt

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Step 2

Putting the given...

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dx We know, x 2; 2; y -2 dt dy dy -4 dt Thus, 2(2)(4)6(-2) = 0 dt dy or, 16-8 = 0 dt dy = 2 dt

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