MCQ
If $y = {x^2} + \cos \,2x + {e^{ax}}$ then find $\frac{{dy}}{{dx}}$
- ✓$2x - 2\,\sin \,\,2x + a{e^{ax}}$
- B$2x + 2\,\sin \,\,2x + {e^{ax}}$
- C$2x - \,\sin \,\,2x + {e^{ax}}$
- D$2x + 2\,\,\sin \,\,2x + a{e^{ax}}$
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$I$. $f$ is continuous on the closed interval $[a, b]$
$II.$ $f$ is bounded on the open interval $(a, b)$
$III.$ If $a$ $< a_1< b_1< b$, and $f (a_1)<0< f (b_1)$, then there is $a$ number $c$ such that $a_1 < c < b_1$ and $f (c)=0$