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What is the slope of the curve 8x2+5y2=r2 8x^2 + 5y^2 = r^28x2+5y2=r2 (where r≠0)r \neq 0)r=0) at a point (x1,y1) (x_{1}, y_{1}) (x1,y1) that lies on the curve?
What is the slope of the tangent line of the curve x2=y2 x^2 = y^2 x2=y2 at the point (15,−15)? (15, -15)?(15,−15)?
If y4=17x,y^{4}=17x,y4=17x, what is dydx?\displaystyle \frac{dy}{dx}?dxdy?
Determine the slope of the line tangent to the circle (x−2)2+(y−4)2=32(x-2)^2 + (y-4)^2 = 32 (x−2)2+(y−4)2=32 at the point (x,y)=(6,0)(x,y) =(6,0)(x,y)=(6,0).
If y3−4y2=x5+3x4,y^3-4y^2=x^5+3x^4,y3−4y2=x5+3x4, what is dydx?\displaystyle \frac{dy}{dx}?dxdy?
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