d/dx [f(x)/g(x)]
To find the derivative of the quotient of two functions, we can use the quotient rule
To find the derivative of the quotient of two functions, we can use the quotient rule. The quotient rule states that if we have two functions, f(x) and g(x), their quotient (f(x) / g(x)) can be differentiated as follows:
d/dx [f(x) / g(x)] = (g(x) * f'(x) – f(x) * g'(x)) / (g(x))^2
Where f'(x) and g'(x) represent the derivatives of f(x) and g(x), respectively.
Let’s calculate the derivative of the quotient f(x) / g(x) using the quotient rule.
d/dx [f(x) / g(x)] = (g(x) * f'(x) – f(x) * g'(x)) / (g(x))^2
So, the derivative of the quotient of two functions, f(x) and g(x), is given by the above formula.
Please note that it is important to know the derivatives of the individual functions f(x) and g(x) in order to use the quotient rule to find the derivative of their quotient.
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