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[Mentor's note: This post does not contain the template for thread-starting posts in the homework forums, because it was moved from another forum.]

"If f'(x) gives me the slope of f at some point, why doesn't f'(x)x + b = f(x)?"

I have no idea how to answer this. Can you?

How about: it is the slope of the tangent line to some point of the function, and that set of tangent lines do not share the same y-intercept b necessarily, so b is not constant.

"If f'(x) gives me the slope of f at some point, why doesn't f'(x)x + b = f(x)?"

I have no idea how to answer this. Can you?

How about: it is the slope of the tangent line to some point of the function, and that set of tangent lines do not share the same y-intercept b necessarily, so b is not constant.

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