The boundary of a localized high-pressure zone in a fluid simulation is modeled by the implicit equation:
(3x−4y+2)2=7ey−2−7 (3x - 4y + 2)^2 = 7e^{y-2} - 7 (3x−4y+2)2=7ey−2−7Determine the exact coordinates of the stationary point on this boundary.
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.