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sexytrevy
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calculus
Question
May 09, 2007 16:50
Hi, this should be easy but i'm just unsure (
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Comments 7
hawkington
May 9 2007, 07:25:51 UTC
why are you differentiating with respect to the dummy variable t?
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sexytrevy
May 9 2007, 07:29:02 UTC
Um, I said integrating with respect to t, following that differentiating to x. Is that what you mean?
The question is:
Find the derivatives of the following functions with respect to x: here a is an arbitrary (fixed) real number.
F[x] = t^3 . dt {a -> x^3}
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hawkington
May 9 2007, 07:33:33 UTC
just integrating with respect to t then differentiating that with respect to x I get 3x^11
What is all this? All you need to do is use the FTC once. You used the FTC wrong, you'll need to review it.
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hawkington
May 9 2007, 07:36:35 UTC
Hmmm, well FTC is stated differently. There is a corrolary for variable limits of integration, you'll need to review that.
Another route is to write F(x) explicitly in terms of x and a and then to differentiate that with respect to x.
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Thread 7
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Comments 7
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The question is:
Find the derivatives of the following functions with respect to x: here a is an arbitrary (fixed) real number.
F[x] = t^3 . dt {a -> x^3}
Reply
What is all this? All you need to do is use the FTC once. You used the FTC wrong, you'll need to review it.
Reply
Another route is to write F(x) explicitly in terms of x and a and then to differentiate that with respect to x.
Reply
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