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superduper

  • 4 years ago

What is the derivative of 4x^3 + 5x + 10? I'm just starting calc.

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  1. siddharth
    • 4 years ago
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    Derivative of an expression of the form of \[ax^n\] is \[nax^{n-1}\]

  2. msayer3
    • 4 years ago
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    \[(4\times3)x^{3-1} + (5\times1)x ^{1-1}\]

  3. msayer3
    • 4 years ago
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    the basic rule of derivative applies - where you take the exponent and multiply that to coefficient. Exponent you originally have will be subtracted by 1 which results in x^2 and x^0 term above.

  4. superduper
    • 4 years ago
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    thanks guys this is really helping

  5. siddharth
    • 4 years ago
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    also, d(x+y) = d(x) + d(y)

  6. msayer3
    • 4 years ago
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    be sure to practice - that way you understand the application of the rule

  7. bnut056
    • 4 years ago
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    12x^2+5

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