A curve has the equation x2+4xy−x+y2=35x^2 + 4xy - x + y^2 = 35x2+4xy−x+y2=35:
Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy and hence find an equation for the tangent to the curve at the point P(2,3)P(2, 3)P(2,3)
717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.