Apply the Product rule to find the derivative of each of the following. a) Let f(x) and g(x) be given as follows f(x) = x^4 + 3x g(x) = e^x + x Apply the product Rule to find the derivative (d/dx) [f(x) * g(x)] b) Let f(x) and g(x) be given as follows f(x) = sin x g(x) = cos x Apply the product Rule to find the derivative (d/dx) [f(x) * g(x)] Bonus(4) Find g'(x) using the product rule, where g(x) is defined as follows g(x) = e^3x = e^x * e^x * e^x
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We want to find the derivative of their product, i.e., (f(x)g(x))'. Using the product rule, we have: (f(x)g(x))' = f'(x)g(x) + f(x)g'(x) Show more…
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