A curve has the equation x^2 +2x(y)^2 + y =4 . Find the expression dy/dx in terms of x and y [6]
Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants and vice versa 2x + 2(y^2) + (2x*2y)dy/dx + 1dy/dx = 0 2x + 2(y^2) + (4xy +1) dy/dx = 0 [4](4xy +1) dy/dx = -(2x + 2(y^2) )Therefore dy/dx = -(2x + 2(y^2) ) / (4xy +1) [2]
LC
Related Maths A Level answers
All answers ▸The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)
Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.
Differentiate f(x) = 14*(x^2)*(e^(x^2))
given y=(1+x)^2, find dy/dx