In a nuclear fusion experiment, the magnetic flux boundary in a specific cross-section of the tokamak is modeled by the implicit equation
2x2y−3y2+x3=12 2x^2y - 3y^2 + x^3 = 12 2x2y−3y2+x3=12where x x\,x and y y\,y are spatial coordinates in decimeters.
Determine the equation of the tangent line to this boundary at the point P(2,2)P(2, 2)P(2,2), expressing your result in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where a,ba, ba,b, and c c\,c are integers.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
