Mathematics
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OpenStudy (anonymous):
solve for x
y=((2/5)x^2)+((14/10)x)+x^(2/5)
solve for x
y=((2/5)x^2)+((14/10)x)+x^(2/5)
@Mathematics
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OpenStudy (anonymous):
so you set it equal to 0 then solve for x
OpenStudy (turingtest):
are you asking or telling that?
OpenStudy (anonymous):
im asking
myininaya (myininaya):
are you trying to find x-intercepts
OpenStudy (turingtest):
not necessarily then, depends on what you need to know.
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OpenStudy (anonymous):
no this is the derivative of a function im trying to find max and min
OpenStudy (turingtest):
take it away myininaya...
myininaya (myininaya):
so this is the derivative of some function
do you want to write down the original function so we can check your derivative here?
myininaya (myininaya):
or you know its right?
OpenStudy (anonymous):
y = x^(2/5)((7/2)+x)
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OpenStudy (anonymous):
just incase there is a easier way that I missed
myininaya (myininaya):
\[y'=\frac{2}{5}x^{\frac{2}{5}-1}(\frac{7}{2}+x)+x^\frac{2}{5}(0+1)\]
myininaya (myininaya):
\[y'=\frac{2}{5}x^{\frac{-4}{5}}(\frac{7}{2}+x)+x^\frac{2}{5}\]
OpenStudy (anonymous):
so that simplifies to (7(x+1))/5x^3/5 and then x=-1?
OpenStudy (turingtest):
that should be x^(-3/5) where it is x^(-4/5) above
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OpenStudy (anonymous):
so X=-1 X=0
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
or is it not x=0
myininaya (myininaya):
\[y'=\frac{7}{5x^\frac{3}{5}}+\frac{2x}{5x^{\frac{3}{5}}}+x^\frac{2}{5}\]
right since turingtest knows how to subtract and i don't my bad
OpenStudy (turingtest):
let myininaya do it, I'm eating and catching silly typos
I know you can subtract
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myininaya (myininaya):
\[y'=\frac{7+2x+5x}{x^\frac{3}{5}}\]
myininaya (myininaya):
please though let me know if i make an error
myininaya (myininaya):
\[y'=\frac{7(1+x)}{x^\frac{3}{5}}\]
myininaya (myininaya):
critical numbers or x=-1, 0
OpenStudy (turingtest):
looks good to me.
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myininaya (myininaya):
great i need to go to sleep now
OpenStudy (turingtest):
g'night!
myininaya (myininaya):
night
OpenStudy (anonymous):
but 0 doesnt work
myininaya (myininaya):
0 is in the domain of the the function f
f(0)=0