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superduper Group Title

Can someone explain how to get the derivative of 3x^2 + 15x + 5?

  • 3 years ago
  • 3 years ago

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  1. misterf Group Title
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    there is a standard technique for taking the derivatives of a polynomial. first find the terms with similar degrees of x and combine them.

    • 3 years ago
  2. misterf Group Title
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    (that's already done in this case, heh).

    • 3 years ago
  3. superduper Group Title
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    Thanks guys I just started calculus

    • 3 years ago
  4. misterf Group Title
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    then decrement the exponent by one, and multiply the former exponent with the coefficient.

    • 3 years ago
  5. julie Group Title
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    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.

    • 3 years ago
  6. misterf Group Title
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    calculus is great! it opens up a whole new realm of math.

    • 3 years ago
  7. julie Group Title
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    In this case, you can do that for each one and you get: \[3 \cdot 2x + 15 \cdot 1 = 6x + 15\]

    • 3 years ago
  8. misterf Group Title
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    looks like julie's got this one :)

    • 3 years ago
  9. julie Group Title
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    thanks for the medals :)

    • 3 years ago
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