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If x(x−6y)5−4y2=1,\frac { x ( x - 6y) } { 5 - 4 y^ 2 } = 1, 5−4y2x(x−6y)=1, what is dydx?\displaystyle \frac{dy}{dx}?dxdy?
If 3x2+7xy28+5y3=1 \frac{ 3 x ^2 + 7 xy^2 } { 8 + 5 y^3 } = 1 8+5y33x2+7xy2=1, what is dydx?\displaystyle \frac{dy}{dx}?dxdy?
If point (1,a)(1,a)(1,a) with a>0a>0a>0 lies on the curve yx−9xy=8,\frac{y}{x}-\frac{9x}{y}=8,xy−y9x=8, what is the derivative dydx\displaystyle \frac{dy}{dx}dxdy of the curve at the point?
Given (x2+y2−11x)2x2+y2=4,\frac{(x^2+y^2-11x)^2}{x^2+y^2}=4, x2+y2(x2+y2−11x)2=4, what is the value of dydx\displaystyle \frac{dy}{dx}dxdy when x=0x=0x=0 and y=2?y=2 ?y=2?
If 6x−y3y+x2=x+4,\frac{6x-y^3}{y+x^2}=x+4, y+x26x−y3=x+4, what is dydx?\displaystyle \frac{dy}{dx}?dxdy?
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