The discussion revolves around solving the equation 840 + 1.5v2.4 - 3.6v1.4 = 0, which is derived from the derivative of a function related to velocity. Participants are exploring methods to find solutions and clarifying the correctness of the derivative.
The discussion is active, with participants sharing insights and questioning assumptions about the derivative. Some guidance has been offered regarding the nature of the roots of the equation, suggesting that it may not have positive real roots.
There are indications of confusion regarding the derivative's accuracy, as one participant references a discrepancy noted by Wolfram Alpha. Additionally, there is mention of fatigue affecting the original poster's ability to solve the problem.
Elpinetos said:Okay, so this equation comes from the derivative of
s(x)=\frac{600v}{1.4+0.0025*v^{2.4}}
But Wolfram Alpha tells me the derivative is wrong? Oo
What did I do wrong?
s'(x)=\frac{600(1.4+0.0025v^{2.4})-600v(0.006v^{1.4})}{(1.4+0.0025*v^{2.4})^{2}}
s'(x)=\frac{840+1.5v^{2.4}-3.6v^{1.4}}{(1.4+0.0025*v^{2.4})^{2}}
Elpinetos said:Homework Statement
In my work I am stuck at this equation:
840+1.5v^{2.4}-3.6v^{1.4}=0
I am looking for a quick, easy way to solve this.
Any suggestions? I am kinda tired right now and nothing comes to my mind except maybe Newtons method?