- #1

Kolika28

- 146

- 28

- Homework Statement
- I'm given the function

f(x)=##2x^3+x^2-6x-2+sin(x)##

- Relevant Equations
- MVT or IVT?

1.Prove that f'(x) is strictly decreasing at (- ##\infty##,a) and strictly increasing at (a,##\infty##).

2.Prove that f'(x) has exactly two roots.

I tried to find f''(x)=0, but I'm not able to solve the equation. What should I do?

2.Prove that f'(x) has exactly two roots.

I tried to find f''(x)=0, but I'm not able to solve the equation. What should I do?