If h(x) = f(x)/g(x), then h'(x) =
[g(x)f'(x) – f(x)g'(x)]/[g(x)*g(x)]
To find the derivative of h(x), we’ll use the quotient rule. The quotient rule states that:
If h(x) = f(x)/g(x), then h'(x) = [g(x)f'(x) – f(x)g'(x)]/[g(x)]^2
So, applying the quotient rule to h(x) = f(x)/g(x), we get:
h'(x) = [(g(x) * f'(x)) – (f(x) * g'(x))] / [g(x)]^2
Therefore, h'(x) = (g(x)f'(x) – f(x)g'(x)) / [g(x)]^2
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