If h(x) = f(x)g(x), what is h'(x)? (product rule)
f(x)g'(x) + g(x)f'(x)
The product rule states that if we have two functions f(x) and g(x), then the derivative of their product h(x) = f(x)g(x) is given by:
h'(x) = f'(x)g(x) + f(x)g'(x)
Therefore, if we apply this rule to the function h(x) = f(x)g(x), we get:
h'(x) = f'(x)g(x) + f(x)g'(x)
So, to find h'(x), we need to find the derivatives of f(x) and g(x) and then plug them into the formula above.
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