Use the Product Rule to differentiate the function.f(x) = x cos(x)Step 1To use the product...
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Calculus
Use the Product Rule to differentiate the function.f(x) = x cos(x)Step 1To use the product rule, write the given function as the product of two functions.f(x) = g(x)h(x), where g(x) = x and h(x)Step 2The product rule states that(g(x)h(x))' = g(x)h'(x) + g'(x)h(x).Find the derivative of g(x).g'(x) = 6x5Find the derivative of h(x).h'(x) = sin(x)6x5- sin r= = cos(xStep 3Substitute for g(x), g'(x), h(x) and h'(x) to find the derivative of f(x).f'(x) = x((6x5)) +H
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