Prove the product rule.
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Problem:
What is the derivative of the product of f(x) and g(x) where both functions are differentiable? i.e. what is ddx[f(x)g(x)]?
Answer:
f(x)g′(x)+f′(x)g(x)
What is the derivative of the product of f(x) and g(x) where both functions are differentiable? i.e. what is ddx[f(x)g(x)]?
f(x)g′(x)+f′(x)g(x)