Implicit Differntiation Quiz Quizizz
Ex 56, 1 If x and y are connected parametrically by the equations without eliminating the parameter, Find 𝑑𝑦/𝑑𝑥, x = 2〖𝑎𝑡〗^2, y = 〖𝑎𝑡〗^4Here 𝑑𝑦/𝑑𝑥 = (𝑑𝑦/𝑑𝑡)/ (𝑑𝑥/𝑑𝑡) Calculating 𝒅𝒚/𝒅𝒕 𝑦 = 〖𝑎𝑡〗^4 𝑑𝑦/𝑑𝑡 " ="Suppose xy=4 and dy/dt=2 Find dx/dt when x=3 y x (dy/dx) = 0 by implicit differentiation We are given with the expression xy = 4 The first derivative of the x is dx/dt while that of y is dy/dt in this case using the multiplication rule of differentiation and that of constants, x dy/dt y dx/dt = 0 when x= 3, y should be 4/3
