Asked by Kelly

Find dy/dx by implicit differentation.
ysin(x^2)=-xsin(y^2)
Answered by Anonymous
an equilateral triangle is inscribed in a circle. suppose the radius of the circle increases at 3ft/sec. how fast is the area of the triangle increasing when the radius of the circle is 4 feet?
Answered by Steve
A little piggyback here, eh?

ysinx² = -xsiny²

y' sinx² + 2xycosx² = -1siny² -2x²cosy² y'

y'(sinx²+2x²cosy²) = -(siny² + 2xycosx²)

y' = -(siny² + 2xycosx²)/(sinx²+2x²cosy²)
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