Subjects
×
  • ENSB Solutions
  • Basic Mathematics
  • Algebra
  • Trigonometry
  • Analytic Geometry
  • Plane Geometry
  • Solid Geometry
  • Differential Calculus
  • Integral Calculus
  • Differential Equation
  • Differential Calculus Solutions

    Topics || Problems

    Find the slope of the curve \(x^2 +xy +y^2 =3 \) and \( (1, 1)\)

    Slope = \(\frac{dy}{dx}\)

    \(2xdx + xdy +ydx +2ydy = 0\)

    \(2(1)dx + (1)dy + (1)dx +2(1)dy = 0\)

    \(3dx + 3 dy = 0\)

    \(dy = -dx\)

    \(\frac{dy}{dx} = -1\)