Problem 658 (difficulty: 2/10)

Calculate the derivative:

\(\displaystyle -x; \qquad 3x^3-2x+1; \qquad \frac{x^2+1}{x^3+2}; \qquad (x^{10}+x^2+1)^{100}; \qquad \dfrac{(x^3+1)^n}{(2+x)\bigg(x^3+\dfrac2{x^2}\bigg)} \)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government