Find dy/dx by implicit differentation.
ysin(x^2)=-xsin(y^2)
2 answers
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?
A little piggyback here, eh?
ysinx² = -xsiny²
y' sinx² + 2xycosx² = -1siny² -2x²cosy² y'
y'(sinx²+2x²cosy²) = -(siny² + 2xycosx²)
y' = -(siny² + 2xycosx²)/(sinx²+2x²cosy²)
ysinx² = -xsiny²
y' sinx² + 2xycosx² = -1siny² -2x²cosy² y'
y'(sinx²+2x²cosy²) = -(siny² + 2xycosx²)
y' = -(siny² + 2xycosx²)/(sinx²+2x²cosy²)
1 answer