Antiderivatives

ptsoccerboy

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Joined
Aug 29, 2007
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If f is the function defined by f(x) = cuberoot((x^2)+4x) and g is an antiderivative of f such that g(5) = 7, then g(1) approximately equals...?

I cant take the antiderivative of f(x) because it is way too complicated and I haven't learned how to yet for such a complicated problem. I thought g as the original function and so f(x) is the derivative of g and therefore gives the slope. So i graphed f(x) and found the slope at when g(1) and i hope i could find y from that but I haven't been able to.

It's a multiple choice question and the options are
a. -3.883
b. -3.557
c. 1.710
d. 3.557
e. 3.882
I know its not c because thats the slope.

Please help me. Thank you!
 
ptsoccerboy said:
If f is the function defined by f(x) = cuberoot((x^2)+4x) and g is an antiderivative of f such that g(5) = 7, then g(1) approximately equals...?

I cant take the antiderivative of f(x) because it is way too complicated and I haven't learned how to yet for such a complicated problem. I thought g as the original function and so f(x) is the derivative of g and therefore gives the slope. So i graphed f(x) and found the slope at when g(1) and i hope i could find y from that but I haven't been able to.

It's a multiple choice question and the options are
a. -3.883
b. -3.557
c. 1.710
d. 3.557
e. 3.882
I know its not c because thats the slope.

Please help me. Thank you!

Try using mean value theorem.
 
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