DLS
  • DLS
Please find the derivative c:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DLS
  • DLS
\[y=(3x^2+6x+5)^{(7/2)} \]
cwrw238
  • cwrw238
use the chain rule ley u = 3x^2 + 6x + 5 , then y = u^(7/2) find du/dx and dy/du then dy/dx = dy/du * du/dx
DLS
  • DLS
I did the same.

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cwrw238
  • cwrw238
ok - and what did you get?
cwrw238
  • cwrw238
7/2(3x^2 + 6x + 5)^(5/2) * (6x +6)
DLS
  • DLS
Im little confused.. Will it be like this? \[y=\frac{(3x^{2}+6x+5)^{7/2}}{d(6x+5)} \times \frac{d(6x+5)}{d5} \] something like this? perhaps confused..
cwrw238
  • cwrw238
y = u^(7/2) dy/du = (7/2) u^(7/2 - 1) = (7/2) u^(5/2) substituting back for u dy/du = (7/2) ( 3x^2 + 6x + 5)^(5/2) du/dx = 6x + 6 now multiply the two results together gives (7/2)(6x+6)(3x^2 + 6x + 5)^(5/2)
cwrw238
  • cwrw238
with practice you won't need to do the substitution u
DLS
  • DLS
how did u get 6x+6
cwrw238
  • cwrw238
6x + 6 is the derivative of 3x^2 + 6x + 5 the du/dx in the above post
DLS
  • DLS
thanks!
cwrw238
  • cwrw238
you use chain rule when you have a 'function of a function' like this one 3x^2 +6x + 5 is the 'inside' function of (3x^2 +6x + 5)^7/2
cwrw238
  • cwrw238
yw
DLS
  • DLS
i have some more questions im confused with!
cwrw238
  • cwrw238
i'm sorry but i must go now
DLS
  • DLS
okay..

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