The curve CCC has equation
5x+3y2+2xy2=12(3x)+15,y>0 5x + 3y^{2} + 2xy^{2} = 12(3^{x}) + 15, \quad y > 0 5x+3y2+2xy2=12(3x)+15,y>0Find an expression for dydx\frac{dy}{dx}dxdy in terms of xxx and yyy.
Curve CCC cuts the yyy-axis at the point PPP.
Find the exact value of the gradient of the tangent to CCC at PPP.
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.
