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Shiloh is working on a problem in Achieve. He was asked to find the slope of the line tangent to the function y =


 

Shiloh is working on a problem in Achieve. He was asked to find the slope of the line tangent to the function y = f(r)g(r) at the point where x = 2. He was given this information: The slope of the line that is tangent to y = f(x) at the point (2, 4) is -3. That is, (2) = 4 and f'(2) = -3. The slope of the line that is tangent to y = g(r) at the point (2,-5) is 7. That is, g(2) = -5 and g'(2) = 7. Shiloh enters into Achieve: The slope of the line tangent to the function y = f(x)g(x) when x = 2 is -21. Achieve told Shiloh that his answer was wrong. Look for Shiloh's mistake(s) and explain what the error(s) is/are. Then, give the correct solution with supporting work.

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