Specialist2024 Exam 1 · Q8Tech-free4 marks

Implicit differentiation and tangent slope

Consider the relation $x^2y^2 + xy = 2$ , where $x, y \in R$ .

Using implicit differentiation, show that $\frac{dy}{dx} = -\frac{y}{x}$ given that $2xy \neq -1$ .

2 marks

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Find all points on the graph of $x^2y^2 + xy = 2$ where the slope of the tangent is equal to $-1$ .

2 marks

Hints, answer checking and worked solutions come with a Season Pass.