Derivatives from tangent lines Suppose the line tangent to the graph of f at x = 2 is y = 4x + 1 and suppose the line tangent to the graph of g at x = 2 has slope 3 and passes through (0, − 2). Find an equation of the line tangent to the following curves at x = 2.
a. y = f(x) + g(x)
b. y = f(x) − 2g(x)
c. y = 4f(x)
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