18.01SC Single Variable Calculus:
Problem Set 1.
Question 1C-2:
Let f(x) = (x − a)g(x). Use the definition of the derivative to calculate that f'(a) = g(a), assuming that g is continuous.
I'm not understanding the solution.
Could someone explain it to me step by step?
I know what the definition of a derivative is. I'm assuming "x" and "a" are two different points on the graph?
Any help would be appreciated!!

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I guess I'm also not understanding the question. It's hard for me to picture it visually.

Could I say that the question is asking me to find the lim of f(x) as "x" approaches "a" ?

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