Determine the derivative of the following. Simplify fully.

  • Thread starter 1irishman
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  • #1
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Homework Statement



y = (3x+2)(x+5)^4

Homework Equations



Here, i tried using the chain rule on (x+5)^4 first, and then i tried using the product rule
for the entire expression with no success. Can someone help me please?



The Attempt at a Solution



dy/dx (3x+2)(x+5)^4 + dy/dx(x+5)^4(3x+2)
= (3)(x+5)^4 + 4(x+5)^3(3x+2)
=3(x+5)^4 + 4(x+5)^3(3x+2) this is as far as i could go.
 

Answers and Replies

  • #2
SammyS
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Factor out (x+5)3 and simplify the remaining expression.
 
  • #3
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= (x+5)^3(3(x+5) + 4(3x+2))
= (x+5)^3(3x+15 +12X + 8)
dy/dx = (x+5)^3(15x+23) final answer thank u for helping!
 
Last edited:
  • #4
SammyS
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You're very welcome.

Sam
 

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