Home/Differential Calculus/Typical examples/Formula14.2. Typical examplesFormulaIn 14.2. Typical examplesFormulaCopy LaTeXx2+y2=r2⇒2xdxdt+2ydydt=0x^2+y^2=r^2 \Rightarrow 2x\frac{dx}{dt}+2y\frac{dy}{dt}=0x2+y2=r2⇒2xdtdx+2ydtdy=0TagsApplicationDifferential calculusDerivativeDerivative formulaTypical examplesDetailRelated rate on a circle (constant radius).VariablesxxxIndependent variableyyyDependent variabledydydyDifferential of yyydxdxdxDifferential of xxxFound an error? Contact us.Related formulasRelatedFormulaV=43πr3⇒dVdt=4πr2drdtV=\frac{4}{3}\pi r^3 \Rightarrow \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}V=34πr3⇒dtdV=4πr2dtdrOpen formulaOpen in sectionRelatedFormulaz2=x2+y2⇒2zdzdt=2xdxdt+2ydydtz^2=x^2+y^2 \Rightarrow 2z\frac{dz}{dt}=2x\frac{dx}{dt}+2y\frac{dy}{dt}z2=x2+y2⇒2zdtdz=2xdtdx+2ydtdyOpen formulaOpen in section