Prove the Quotient Rule
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Problem:
What is the derivative of the quotient of f(x) and g(x) when both are differentiable and g(x)≠0? i.e. what is
ddx[f(x)g(x)]?
Answer:
g(x)f′(x)−f(x)g′(x)g(x)2
What is the derivative of the quotient of f(x) and g(x) when both are differentiable and g(x)≠0? i.e. what is
ddx[f(x)g(x)]?
g(x)f′(x)−f(x)g′(x)g(x)2