A curve has equation y=3x+1xy = 3x + \dfrac{1}{x}y=3x+x1
Find dydx\dfrac{dy}{dx}dxdy.
Find the xxx-coordinates of the points where the gradient is zero, giving your answers in exact form.
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.