Optimization Problems
1. A manufacturer wants to design an open box having a square base and a surface area of $ \…
1. A manufacturer wants to design an open box having a square base and a surface area of $ \…
$ \displaystyle f(x)=\frac{{{{x}^{3}}-1}}{{x-1}}$ ဆိုတဲ့ function တစ္ခုကို စဥ္စားၾကည့္ရေအာင္ $ \di…
Limit ပုစ္ဆာများ တွက်ရာတွင် သိရှိနားလည်ထားရမည့် ဂုဏ်သတ္တိများ ကို လေ့လာသိရှိပြီးမှ ပုစ္ဆာများကို …
1. Given that $ \displaystyle y = 3x^3 - 7x^2 + 8$, find the value of $ \displaystyle \frac{d…
1. If $ \displaystyle y = \ln (\sin^3 2x)$, then prove that If $ \displaystyle 3(\frac{{d}^{2…
Differentiate the following with respect to $ \displaystyle x$. (i) $ \displaystyle (2−x^2) \ln(3x…
Evaluate $ \displaystyle \underset{{x\,\to \,\pi }}{\mathop{{\lim }}}\,\frac{{1-\cos 7(x-\pi )}}{{5…
ေပးထားတဲ့ curve (အစိမ္းေရာင္) က $ \displaystyle y=f(x)$ ျဖစ္ပါတယ္။ ခရမ္းေရာင္ $ \displaystyle PQ$ …
$ \displaystyle \frac{{dy}}{{dx}}=\underset{{\delta x\to 0}}{\mathop{{\lim }}}\,\frac{{\delta y}}{{…
Find the equation of the normal to the curve $ \displaystyle y = 1 - x^2$ at the point where the c…
Find the equation of the tangent to the curve y=2x² which is parallel to the secant of the curve wh…
1. $ \displaystyle \underset{{x\to a}}{\mathop{{\lim }}}\,f(x)=f(a)$ when $ \displaystyle f(x)$…