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1. Consider the function f(x) = x 3 + 7x + 2. (a) (10 pts) Show...

1. Consider the function f(x) = x 3 + 7x + 2. (a) (10 pts) Show that f has an inverse. (Hint: Is f increasing?) (b) (10 pts) Determine the slope of the tangent line to f −1 at (10, 1). (Hint: The derivative of the inverse function can be found using the chain rule.)

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