Optimization Problems

1.        A manufacturer wants to design an open box having a square base and a… Read more Optimization Problems

Definition of a Limit

$ \displaystyle f(x)=\frac{{{{x}^{3}}-1}}{{x-1}}$ ဆိုတဲ့ function တစ္ခုကို စဥ္… Read more Definition of a Limit

Calculus - Limits

Limit ပုစ္ဆာများ တွက်ရာတွင် သိရှိနားလည်ထားရမည့်  ဂုဏ်သတ္တိများ ကို လေ့လာသိရှိပ… Read more Calculus - Limits

Calculus : Approximation

1.       Given that $ \displaystyle y = 3x^3 - 7x^2 + 8$, find the value of $ \… Read more Calculus : Approximation

Calculus : Proof of Differential Equations (Problems and Solutions)

1.       If $ \displaystyle y = \ln (\sin^3 2x)$, then prove that If $ \display… Read more Calculus : Proof of Differential Equations (Problems and Solutions)

Calculus : Differentiation (Chain Rule, Product Rule and Quotient Rule)

Differentiate the following with respect to $ \displaystyle x$. (i)  $ \display… Read more Calculus : Differentiation (Chain Rule, Product Rule and Quotient Rule)

Problem Study : Trigonometric Limit

Evaluate $ \displaystyle \underset{{x\,\to \,\pi }}{\mathop{{\lim }}}\,\frac{{1… Read more Problem Study : Trigonometric Limit

Calculus : Gradient of Tangent

ေပးထားတဲ့ curve (အစိမ္းေရာင္) က $ \displaystyle y=f(x)$ ျဖစ္ပါတယ္။ ခရမ္းေရာင္ … Read more Calculus : Gradient of Tangent

Differentiation from the First Principle

$ \displaystyle \frac{{dy}}{{dx}}=\underset{{\delta x\to 0}}{\mathop{{\lim }}}\… Read more Differentiation from the First Principle

Calculus : Tangent Line and Normal Line

Find the equation of the normal to the curve $ \displaystyle y = 1 - x^2$ at th… Read more Calculus : Tangent Line and Normal Line

Calculus : Tangent Line

Find the equation of the tangent to the curve y=2x² which is parallel to the se… Read more Calculus : Tangent Line

Properties of Limits

1.     $ \displaystyle \underset{{x\to a}}{\mathop{{\lim }}}\,f(x)=f(a)$ when $… Read more Properties of Limits