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superduper

  • 4 years ago

what is the derivative of 5x^2 + 10x +3?

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  1. lalaly
    • 4 years ago
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    10x +10

  2. superduper
    • 4 years ago
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    I just started calculus can you help explain it to me?

  3. misterf
    • 4 years ago
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    To derive polynomials, there is a little trick to keep in mind: decrease the exponent by one and multiply the former exponent with the coefficients.

  4. lalaly
    • 4 years ago
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    yeh what mister said lol

  5. shadowfiend
    • 4 years ago
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    In addition, since 3 is a constant, it turns into 0 when you derive.

  6. superduper
    • 4 years ago
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    Thanks !

  7. misterf
    • 4 years ago
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    each term can be derived separately: \[\ derivative of 5x^2 = 2*5*x^1\]

  8. amistre64
    • 4 years ago
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    \begin{array}l\color{red}{\text{h}}\color{orange}{\text{a}}\color{#9c9a2e}{\text{v}}\color{green}{\text{e}}\color{blue}{\text{ }}\color{purple}{\text{y}}\color{purple}{\text{o}}\color{red}{\text{u}}\color{orange}{\text{ }}\color{#9c9a2e}{\text{l}}\color{green}{\text{e}}\color{blue}{\text{a}}\color{purple}{\text{r}}\color{purple}{\text{n}}\color{red}{\text{e}}\color{orange}{\text{d}}\color{#9c9a2e}{\text{ }}\color{green}{\text{t}}\color{blue}{\text{h}}\color{purple}{\text{e}}\color{purple}{\text{ }}\color{red}{\text{d}}\color{orange}{\text{e}}\color{#9c9a2e}{\text{r}}\color{green}{\text{i}}\color{blue}{\text{v}}\color{purple}{\text{a}}\color{purple}{\text{t}}\color{red}{\text{i}}\color{orange}{\text{v}}\color{#9c9a2e}{\text{e}}\color{green}{\text{ }}\color{blue}{\text{s}}\color{purple}{\text{h}}\color{purple}{\text{o}}\color{red}{\text{r}}\color{orange}{\text{t}}\color{#9c9a2e}{\text{c}}\color{green}{\text{u}}\color{blue}{\text{t}}\color{purple}{\text{s}}\color{purple}{\text{ }}\color{red}{\text{y}}\color{orange}{\text{e}}\color{#9c9a2e}{\text{t}}\color{green}{\text{?}}\color{blue}{\text{}}\end{array}

  9. misterf
    • 4 years ago
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    the next term would be: \[1 * 10 * x^0 = 10\] so our final derivative (we just add em together) 10x + 10

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