Practice problem
Find dydx\frac{dy}{dx}dxdy for y4+x3y2=6+x6yy^4+x^3y^2=6+x^6yy4+x3y2=6+x6y
dydx=6x5y−3x2y24y3+2x3y−x6\frac{dy}{dx}=\frac{6x^5y-3x^2y^2}{4y^3+2x^3y-x^6}dxdy=4y3+2x3y−x66x5y−3x2y2
dydx=4x3y6+3xy29x3+6x2y3−2x5\frac{dy}{dx}=\frac{4x^3y^6+3xy^2}{9x^3+6x^2y^3-2x^5}dxdy=9x3+6x2y3−2x54x3y6+3xy2
dydx=13x4y−7xy43y3−xy+x6\frac{dy}{dx}=\frac{13x^4y-7xy^4}{3y^3-xy+x^6}dxdy=3y3−xy+x613x4y−7xy4
dydx=5x4−8x2y76y2−3xy+14x2y−2x4\frac{dy}{dx}=\frac{5x^4-8x^2y^7}{6y^2-3xy+14x^2y-2x^4}dxdy=6y2−3xy+14x2y−2x45x4−8x2y7
Type a concept, like “slope” or “photosynthesis”.
