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

1. anonymous

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. anonymous

(that's already done in this case, heh).

3. anonymous

Thanks guys I just started calculus

4. anonymous

then decrement the exponent by one, and multiply the former exponent with the coefficient.

5. anonymous

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. anonymous

calculus is great! it opens up a whole new realm of math.

7. anonymous

In this case, you can do that for each one and you get: $3 \cdot 2x + 15 \cdot 1 = 6x + 15$

8. anonymous

looks like julie's got this one :)

9. anonymous

thanks for the medals :)