anonymous
  • anonymous
find derivative of y = (3x - 5)(sqrt(6x + 1))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Also chain rule. Write the square root as (6x+1)^(1/2) and it makes more sense.
anonymous
  • anonymous
can you be more elaborate
anonymous
  • anonymous
Okay, so you look at it in terms of factors and apply the product rule, so you take the derivative of (3x-5) and multiply by sqrt(6x+1) Then you add that to the product of (3x-5) and the derivative of sqrt(6x+1) also known as first d last plus last d first

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anonymous
  • anonymous
to find the derivative of sqrt(6x+1), rewrite it in the sensible form (6x+1)^(1/2) Bring the exponent down in front, reduce the power by one, then multiply by the derivative of the argument
anonymous
  • anonymous
so we get (1/2)(6x+1)^(-1/2)(6)
anonymous
  • anonymous
total is (3x-5)(1/2)(6)(6x+1)^(-1/2)+(3)(6x+1)^(1/2)
anonymous
  • anonymous
WHATS YOUR ANSWER
anonymous
  • anonymous
remember ^(-1/2) gives one over the square root of...

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