Number and Algebra
Functions
Geometry & Trigonometry
Statistics & Probability
Calculus
Find dydx\frac{dy}{dx}dxdy if x2+y2=25x^2 + y^2 = 25x2+y2=25.
Find dydx\frac{dy}{dx}dxdy if y=xy+x2y = x y + x^2y=xy+x2.
Find dydx\frac{dy}{dx}dxdy if x2y=1x^2y=1x2y=1.
Find dydx\frac{dy}{dx}dxdy if x3+y3=7xyx^3 + y^3 = 7xyx3+y3=7xy.
Find dydx\frac{dy}{dx}dxdy if y2=xy+1y^2=xy+1y2=xy+1.
Find dydx\frac{dy}{dx}dxdy if yex=xye^x=xyex=x.
Find dydx\frac{dy}{dx}dxdy if x2+xy+y2=3x^2+xy+y^2=3x2+xy+y2=3.
Find dydx\frac{dy}{dx}dxdy if ex+ey=xye^x + e^y = xyex+ey=xy.
Find dydx\frac{dy}{dx}dxdy if sin(xy)=x+y\sin(xy)=x+ysin(xy)=x+y.
Find dydx\frac{dy}{dx}dxdy if ln(x+y)=xy\ln(x+y)=xyln(x+y)=xy.
Find dydx\frac{dy}{dx}dxdy if xy2+y=cos(x)x y^2 + y = \cos(x)xy2+y=cos(x).
Find dydx\frac{dy}{dx}dxdy if y=x−xyln(xy)y=x - x y \ln(xy)y=x−xyln(xy), where x>0x>0x>0, y>0y>0y>0.
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Question Type 2: Tangents to implicitly defined curves