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Mathematics 19 Online
OpenStudy (anonymous):

None on my results match up with any of their multiple choice: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

OpenStudy (anonymous):

OpenStudy (mertsj):

Why wouldn't it be D since if you do the integral and then take the derivative, you're right back where you started?

OpenStudy (turingtest):

basically, except that you've replaced t with x the other term g(1) goes away because it is a constant, and when you take the derivative of a constant, what happens?

OpenStudy (mertsj):

Well but it's a definite integral from 1 to x. That's why the t goes away, isn't it?

OpenStudy (turingtest):

yep :D

OpenStudy (anonymous):

So which one of the choices would be correct?

OpenStudy (mertsj):

Why wouldn't it be D since if you do the integral and then take the derivative, you're right back where you started? TuringTest 0 Good Answer yep :D

OpenStudy (anonymous):

Where is D? there are only 3 options

OpenStudy (anonymous):

last one

OpenStudy (anonymous):

Mk, thanks

OpenStudy (turingtest):

to be technically correct that's it's not g(1) that goes away (that would be zero), just the evaluation, but I am glossing over things like that

OpenStudy (mertsj):

Oh. sorry. I thought there were 4 options. Guess the "d" at the beginning of the choice that caused me to say d

OpenStudy (anonymous):

C is the option, as they say, g(1) is a constant, so if \[(\int\limits_{1}^{x}\sqrt{4+7t} )'dt=\sqrt{4+7t}\]

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