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newatcalculus Group Title

What is the derivative of 5x^2 + 10x + 5? I'm new at calculus

  • 3 years ago
  • 3 years ago

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  1. roshan2004 Group Title
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    10x+10

    • 3 years ago
  2. AntiMatter Group Title
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    here you can apply the power rule

    • 3 years ago
  3. misterf Group Title
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    When you are deriving polynomials, the important thing to remember is that you can derive each piece independently.

    • 3 years ago
  4. AntiMatter Group Title
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    \[ 3x^3 + 5x + 10\] To find the first derivative you can apply the Power Rule For Example, in general, finding the derivative of a function with exponents follows such a pattern: \[x^{n} = n*x^{n-1}\] Turn the exponent into a coefficient and then subtract 1 from the exponent for the first derivative

    • 3 years ago
  5. roshan2004 Group Title
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    Differentiate each terms

    • 3 years ago
  6. AntiMatter Group Title
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    so you use that with misterf's idea, and work through each part of the function individually

    • 3 years ago
  7. misterf Group Title
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    very nice, antimatter. you can do that to each x term and then add them back together

    • 3 years ago
  8. newatcalculus Group Title
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    What is a derivative? What does it represent?

    • 3 years ago
  9. AntiMatter Group Title
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    ha, right!

    • 3 years ago
  10. misterf Group Title
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    it is the rate of change of function at a given value.

    • 3 years ago
  11. roshan2004 Group Title
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    Derivative is like a function

    • 3 years ago
  12. roshan2004 Group Title
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    which gives us the rate of change

    • 3 years ago
  13. shadowfiend Group Title
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    In the physical world, for example, if you have a graph that shows the position of something, the derivative of that graph at a given point is the speed of the object at that point.

    • 3 years ago
  14. misterf Group Title
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    say your function represents your distance over time. if you take the derivative of that function, you will get a function for your speed.

    • 3 years ago
  15. roshan2004 Group Title
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    of the function with respect to any independent variable

    • 3 years ago
  16. shadowfiend Group Title
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    Likewise, if you have a graph (or function) describing the speed, the derivative at a given point gives you the acceleration at that point, i.e., the rate at which your speed is changing. Your speed is the rate at which your position is changing. Etc.

    • 3 years ago
  17. shameer Group Title
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    10x+10

    • 3 years ago
  18. myininaya Group Title
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    by the way derive is different from differentiate

    • 3 years ago
  19. myininaya Group Title
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    derive means sort of like to find differentiate means to take the derivative

    • 3 years ago
  20. shameer Group Title
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    i think its very easy and simple method to find derivate

    • 3 years ago
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