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superduper

  • 3 years ago

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

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  1. misterf
    • 3 years ago
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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.

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

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

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

  5. julie
    • 3 years ago
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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.

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

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

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

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

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