i dont even know where to start in this problem
#calculus?
inner barn
latent novaBOT
i dont even know where to start in this problem
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inner barn
huh
vestal jolt
What?
lavish saddle
ya
vestal jolt
so we just differentiate the y
As I said, better to simplify it first so you don't have to use the quotient rule.
vestal jolt
Open the brackets, then it'll just be a sum of power functions.
inner barn
is it -3x^-2 - 9x^-1/2 + 18x^-3/2
vestal jolt
No.
lavish saddle
wait
lavish saddle
so its 3x^-1/2 (x^2 - 6x - 3)
open this
its not working
lavish saddle
so its 3x^-1/2 (x^2 - 6x - 3)
it is 1/3
inner barn
huh
inner barn
1/3 * √x
1/3x^1/2
wait no
(x^1/2) /3
this is actually so confusing
ngl
so its (1/3)x^-1/2
@lavish saddle
?
lavish saddle
ya
inner barn
ohhhhhh
aight so i did the math and got (1/2)x^(1/2) - x^(-1/2) + (1/2)x^(-3/2)
what do i do now
lavish saddle
idk tbh
inner barn
my dad did it but i didnt understand it fully
ill just ask my teacher tomorrow
during the class
lavish saddle
k
vestal jolt
i cant do it
Note that x^a x^b = x^(a + b).
olive geyser
you have to find dy/dx using quotient rule
or simplify y first and just use power rule to differentiate
like darpinger said
you can factor out 1/3 first
then split the expression into 3 terms, simplify each expression
then you'll have y = ag(x)
y' = ag'(x)
then you just have to get the result into the required form
inner barn
+close