លំហាត់គណិតវិទ្យាប្រចាំថ្ងៃ

I.ចូរគណនាដេរីវេខាងក្រោម
$1.y=\sin(\frac{\sin(x)}{x})$
$2.y=\sin(x+3)$
$3.y=e^{x}$
$4.y=x^{x}$
$5.y=\sqrt{x+7}+\sqrt{x^5-2x-5}$
$6.f(x)=\sqrt{x^6+x-2}$
$7.y=\frac{\sin(x)-\cos(5x)}{\cos(x)-6x+3}$
$8.y=\ln(x^3+3x-\cos(x))$
$9.y=\frac{x}{\ln(x)}$
III.ចូរគណនាលីមីតខាងក្រោម
1.$\lim_{x\to 2}\dfrac{4x^{3}-5x-22}{x^{2}-x-2}$
2. $\lim_{x\to 0^{+}}\dfrac{x-\sqrt{x}}{x+\sqrt{x}}$
3. $\lim_{x\to 1}\dfrac{\sqrt{x+3}+\sqrt{x}-3}{x-1}$
4. $\lim_{x\to 2}\dfrac{x^{2}\sqrt{x+2}-8}{4-x^{2}}$
5.${\displaystyle \lim_{x\to 0}\dfrac{1-\cos(x)\cos(2x)\ldots\cos(nx)}{x^2} }$
III.លំហាត់ថ្នាក់ទី10
សរសេរសមីការបន្ទាត់កាត់តាមពីរចំនុច
$1.A(1,-1);B(3,6)$
$2.A(3,-3)B(3,-6)$
$3.A(6\frac12,2);B(2\frac23,5)$
$4.A(6,-3)B(7,-9)$
$5.A(9,-3)B(1,-6)$
$6.A(3,-3)B(-5,1)$
$7.A(\frac25,-3)B(-4,-3)$
$8.A(-\frac65,-3)B(3,-6)$
$9.A(4,-3)B(-\frac12,-6)$
$10.A(1,-2)B(7,-6)$

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