## superduper 4 years ago what is the derivative of 5x^2 + 10x +3?

1. lalaly

10x +10

2. superduper

I just started calculus can you help explain it to me?

3. misterf

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

yeh what mister said lol

In addition, since 3 is a constant, it turns into 0 when you derive.

6. superduper

Thanks !

7. misterf

each term can be derived separately: $\ derivative of 5x^2 = 2*5*x^1$

8. amistre64

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9. misterf

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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