A curve C C\,C has the equation
y=e2x+1x2\displaystyle y = \frac{e^{2x + 1}}{x^2}y=x2e2x+1
Show that C C\,C has exactly one stationary point.
Fully justify your answer.
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.