Question 5 Use the quotient rule to find the derivative. a) $h(t) = \frac{t}{t+5}$ b) $y = \frac{2\tanx}{1-\cos x}$
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Step 1: The quotient rule states that the derivative of a quotient of two functions, $$f(x)$$ and $$g(x)$$, is given by: $$\frac{d}{dx} \left[ \frac{f(x)}{g(x)} \right] = \frac{g(x) \cdot f'(x) - f(x) \cdot g'(x)}{[g(x)]^2}$$ Show more…
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QUESTION 6 product quotient rule a) Apply the product rule to find the derivative of f(x) = sqrt(x)e^x { f(x) = sqrt(x) e^x } b) Apply the quotient rule to find the derivative of g(t) = 5t / (t^2+1)
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