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Question
For the function y = x2, if x = 10 and ∆x = 0.1. Find ∆y.
Solution
\[y = x^2 \]
\[ ∆ x = 0 . 1\]
\[ x = 10\]
\[\frac{dy}{dx} = 2x\]
\[ \Rightarrow \left( \frac{dy}{dx} \right)_{x = 10} = 20\]
\[ \Rightarrow ∆ y = dy = \frac{dy}{dx}dx = 20 \times 0 . 1 = 2\]
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