Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

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

OpenStudy (lalaly):

10x +10

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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.

OpenStudy (lalaly):

yeh what mister said lol

OpenStudy (shadowfiend):

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

OpenStudy (anonymous):

Thanks !

OpenStudy (anonymous):

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

OpenStudy (amistre64):

\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}

OpenStudy (anonymous):

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

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!