# Find derivatives for the functions. Assume a, b, c, and k are constants. y=5x^{3}+7x^{2}-3x+1

Find derivatives for the functions. Assume a, b, c, and k are constants.
$$\displaystyle{y}={5}{x}^{{{3}}}+{7}{x}^{{{2}}}-{3}{x}+{1}$$

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Find derivative of given function:
$$\displaystyle{y}'=^{{{1}}}{\left({5}{x}^{{{3}}}\right)}'+{\left({7}{x}^{{{2}}}\right)}'-{\left({3}{x}\right)}'+{1}'$$
$$\displaystyle=^{{{2}}}{5}\dot{{3}}{x}^{{{2}}}+{7}\dot{{2}}{x}-{3}\dot{{1}}+{0}$$
$$\displaystyle={15}{x}^{{{2}}}+{14}{x}-{3}$$
Rules used:
(1) Derivative of sum
(2) Power rule