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The Extended Product Rule states that if f, g, and h are dierentiable functions, then %[f(X)g(X)h(x)] = f(X)g(x)h'(x) + f(X)g'(X)h(x) + f '(x)g(X)h(X) Use the

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The Extended Product Rule states that if f, g, and h are dierentiable functions, then %[f(X)g(X)h(x)] = f(X)g(x)h'(x) + f(X)g'(X)h(x) + f '(x)g(X)h(X) Use the Extended Product Rule to calculate y' if y = (5x + 2) (4 + l) (x'5 + l) . x (Express numbers in exact form. Use symbolic notation and fractions where needed.) \f(b) Find an equation of the tangent line to the graph of the function f (x) at the point (2, %). (Use symbolic notation and fractions where needed. Let y = f (x) and give the equation in terms of y and x.)

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