anonymous
  • anonymous
Differentiate x^2 surd x
Mathematics
chestercat
  • chestercat
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Mimi_x3
  • Mimi_x3
\[x^2 \sqrt{x}\]?
lgbasallote
  • lgbasallote
\[\Large x^2 \sqrt x \implies x^2 \times x^{1/2} \implies x^{2 + 1/2} \implies x^{5/2}\] does that help?
lgbasallote
  • lgbasallote
@Ayeshaafzal you still here?

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anonymous
  • anonymous
But the answer says 5 root x3 over 2
lgbasallote
  • lgbasallote
correct...
lgbasallote
  • lgbasallote
i only said the equivalent of \[x \sqrt x\] i never said it was the answer...
lgbasallote
  • lgbasallote
you have to take the derivative of \[x^{5/2}\] use power rule
anonymous
  • anonymous
X^3*
lgbasallote
  • lgbasallote
you know how to use power rule right?
anonymous
  • anonymous
No i forgot
lgbasallote
  • lgbasallote
\[\huge \frac{d}{dx} (x^n) \implies nx^{n-1}\] remember now?
anonymous
  • anonymous
Ohhh i get it thnx
lgbasallote
  • lgbasallote
welcome ^_^
anonymous
  • anonymous
I am still not getting the answer
lgbasallote
  • lgbasallote
did you get \[\huge\frac{d}{dx} (x^{5/2}) \implies \frac 52 x^{\frac 52 - 1}\]
anonymous
  • anonymous
Are we not gonna times by x^2 which is the value of n
lgbasallote
  • lgbasallote
n is 5/2
lgbasallote
  • lgbasallote
the form is x^n remember? n is the exponent...in this case it's 5/2
lgbasallote
  • lgbasallote
for example.. derivative of x^3 is 3x^(3-1) or 3x^2 derivative of x^4 is 4x^(4-1) or 4x^3 derivative of x^2 is 2x^(2-1) or 2x^1 or simply 2x getting the idea now?
anonymous
  • anonymous
Got it 5*x^3/2 /2= 5 rootx^3 over2
lgbasallote
  • lgbasallote
right
anonymous
  • anonymous
Thank u i am so sorry about my dumbness
lgbasallote
  • lgbasallote
haha nahh calculus is hard so dont feel bad :D
lgbasallote
  • lgbasallote
anyway you're welcome :D i have to go sleep now so i wsh you luck in these problems
anonymous
  • anonymous
Have a good night

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