ANSWERS: 4
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are you supposed to find the value of d?
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okay x=4 and y=81 so the sqrt of x or 4 = 2 and sqrt of y = 9 2+9=11 [theres that] and d(81) divided by d(4) = ?
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-162/8 or -81/4
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Slow witted way to do it: Write y in terms of x. So sqrt(x) +sqrt(y) = 11 sqrt(y) = 11-sqrt(x) y = 121 - 22 sqrt(x) + x Now differentiate both sides wrt x. Now substitute 4 for x to find dy/dx. Alternative way to do it: differentiate the original equation wrt x: Write sqrt(x) as x^0.5 so you can use the power rule. x^0.5 + y^0.5 = 11 differentiate: 0.5 x^-0.5 + 0.5 y^-0.5 (dy/dx) = 0 Substitute 4 for x AND 81 for y and solve for (dy/dx)
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