Is it just me or the wolfram sometimes wrong
Try to differentiate \[y=\frac{\sqrt{4t-1}}{3t-5}\] and compare the answer with wolfram
not just you
i have seen it give rather bizarre and lengthy "show steps" for relatively simple integrals i don't know if that counts as "wrong"
but sometimes it's hard to tell; they factor things in a crazy way sometimes
I have found wolf to be flat out wrong on multiple occasions, especially with DE's
The sign '+' or '-' switches in the denominator sometimes
this looks good though http://www.wolframalpha.com/input/?i=sqrt%284x-1%29%2F%283x-5%29
This is what ive got for the equation on top \[\frac{dy}{dt}=\frac{(3t-5)\frac{1}{2\sqrt{4t-1}}(4)-\sqrt{4t-1}(3)}{(3t-5)^{2}}\] \[\frac{dy}{dt}=\frac{2(t-5)-3(4t-1)}{(3t-5)^{2}(4t-1)^{1/2}}\] \[\frac{dy}{dt}=\frac{-10t-7}{(3t-5)^{2}(4t-1)^{1/2}}\]
it is fond of writing polynomials from the bottom up though. a fairly natural thing to do if you think of power series
wolf's answer \[\frac{-6 t-7}{(5-3 t)^2 \sqrt{4 t-1}}\]
i think you forgot the 2 up top
I nener use the quotient rule, product rule is always easier
never*
the 2?
\[\frac{dy}{dt}=\frac{(3t-5)\frac{1}{2\sqrt{4t-1}}(4)-\sqrt{4t-1}(3)}{(3t-5)^{2}}\times \frac{2\sqrt{4t-1}}{2\sqrt{4t-1}}\]
the 4 divide the 2
i think, i didn't do it with pencil and paper
looks like you forgot to multiply by 2
oh maybe a typo here \[\frac{dy}{dt}=\frac{2(t-5)-3(4t-1)}{(3t-5)^{2}(4t-1)^{1/2}}\]
\[\frac{dy}{dt}=\frac{(3t-5)\frac{1}{\sqrt{4t-1}}(2)-\sqrt{4t-1}(3)}{(3t-5)^{2}}X\frac{\sqrt{4t-1}}{\sqrt{4t-1}}\]
i think you just dropped the 3 in front of the t in the first term
so i was wrong about the 2, but rather the error is \[\frac{dy}{dt}=\frac{2(t-5)-3(4t-1)}{(3t-5)^{2}(4t-1)^{1/2}}\] should be \[\frac{dy}{dt}=\frac{2(3t-5)-3(4t-1)}{(3t-5)^{2}(4t-1)^{1/2}}\]
2(3t-5) -(4t-1)3 = -6t-7 wolfram is right
Oh that's a noob move, forgot the 3, LOL
oh well, one for technology...
but still, the sign (3t-5) at the bottom for wolf is switched
it is squared
Yeah it doesnt matter
wolf likes \[a_0+a_1x+a_x^2+...\] rather than the other way around
hmm never thought of that
Medals for all! :D
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