First slide

Introduction to limits

Question

$i f x = a t^{2}, y = 2 a t t h e n \frac{d y}{d x} = \frac{λ}{t}, λ =$

Moderate

Solution

$\begin{aligned} x = a t^{2} \\ \frac{d x}{d t} = 2 a t \\ y = 2 a t \\ \frac{d y}{d t} = 2 a \end{aligned}$
$\begin{array}{l} \frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}} = \frac{2 a}{2 a t} = \frac{1}{t} \\ λ = 1 \end{array}$

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