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Question
Find the derivative of x2 – 2 at x = 10.
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Solution
= `lim_(h → 0)(f(a + h) - f(a))/h`
∴ Derivative of x2 − 2 at x = 10
= `lim_(h → 0) ([(10 + h)^2 - 2]- (10^2 - 2))/h`
= `lim_(h → 0) (100 + 20h + h^2 - 2 - 100 + 2)/h`
= `lim_(h → 0) (20h + h^2)/h`
= `lim_(h → 0) (20 + h)`
= 20
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