anonymous
  • anonymous
Can someone explain how to get the derivative of 3x^2 + 15x + 5?
Mathematics
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anonymous
  • anonymous
Can someone explain how to get the derivative of 3x^2 + 15x + 5?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
there is a standard technique for taking the derivatives of a polynomial. first find the terms with similar degrees of x and combine them.
anonymous
  • anonymous
(that's already done in this case, heh).
anonymous
  • anonymous
Thanks guys I just started calculus

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anonymous
  • anonymous
then decrement the exponent by one, and multiply the former exponent with the coefficient.
julie
  • julie
If you're deriving a single one of those terms, the move is this: \[ax^b\] The derivative of this is: \[a \cdot b \cdot x^{b - 1}\] The exception is for a constant (no power of x), which derives to 0.
anonymous
  • anonymous
calculus is great! it opens up a whole new realm of math.
julie
  • julie
In this case, you can do that for each one and you get: \[3 \cdot 2x + 15 \cdot 1 = 6x + 15\]
anonymous
  • anonymous
looks like julie's got this one :)
julie
  • julie
thanks for the medals :)

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