DerivativesMultiple DerivativesPartial DerivativesImplicit DerivativesStudy Guides

Solutions to Implicit Derivatives

implicit derivative of (dy)/(dx), cos(xy)=1+sin(y)implicit derivative dydx , cos(xy)=1+sin(y)
implicit derivative of (dy}{dx}, xy^2+\frac{x^2)/y =5implicit derivative dydx , xy2+x2y =5
implicit derivative of (dx)/(dy), e^{xy}=e^{4x}-e^{5y}implicit derivative dxdy , exy=e4x−e5y
implicit derivative of (dy)/(dx), e^{x/y}=4x-7yimplicit derivative dydx , exy =4x−7y
implicit derivative of (dy)/(dx),-x/yimplicit derivative dydx , −xy 
implicit derivative of (dy)/(dx),x=sec(4y)implicit derivative dydx ,x=sec(4y)
implicit derivative of (dy)/(dx), x^2+y^2=4implicit derivative dydx , x2+y2=4
implicit derivative of (dy)/(dx), x^2+y^2=9implicit derivative dydx , x2+y2=9
implicit derivative of (dy)/(dx), sqrt(x)+sqrt(y)=1implicit derivative dydx , √x+√y=1
implicit derivative of (dy)/(dx), e^{xy}implicit derivative dydx , exy
implicit derivative of (dx)/(dy), x^3+y^3=4implicit derivative dxdy , x3+y3=4
implicit derivative of (dy)/(dx), (x^2-2y^2)e^{2xy}implicit derivative dydx , (x2−2y2)e2xy
implicit derivative of (dy)/(dx), e^{9xy}+3y^3=3x^3+2implicit derivative dydx , e9xy+3y3=3x3+2
implicit derivative of (dy)/(dx), x^2+y^2=1implicit derivative dydx , x2+y2=1
implicit derivative of (dy)/(dx),ysin(1/y)=1-xyimplicit derivative dydx ,ysin(1y )=1−xy
implicit derivative of (dy)/(dx), xe^y=x-yimplicit derivative dydx , xey=x−y
implicit derivative of (dy)/(dx), x^3+y^3=6xyimplicit derivative dydx , x3+y3=6xy
implicit derivative of (dy)/(dx), y-ln(y)=x^2+1implicit derivative dydx , y−ln(y)=x2+1
implicit derivative of e^{xy}=e^{4x}-e^{5y}implicit derivative exy=e4x−e5y
implicit derivative of (dy)/(dx), x^2+y^2=25implicit derivative dydx , x2+y2=25