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L’Hopital’s Rule deals with indeterminate form situations where direct substitution of values into a limit expression does not provide a clear answer. What is L’Hopital’s Rule?...
Finding the real roots of polynomials is one of the most difficult problems to solve, especially if modern numerical methods are not used. While the Rational...
De moivre’s theorem offers an effective method for raising complex numbers to any integer or fractional power. Let’s look at the proof for many cases: When...
State Rolle’s Theorem is a fundamental result in calculus that holds for differentiable functions. It asserts that if certain requirements are met, there must be at...
Trigonometric Rules is a fundamental discipline of mathematics that studies the relationships between the sides and angles of triangles, specifically right-angled triangles. These relationships are expressed...
Derivative using first principle How do I find the derivative using the first principle of sinx ? To find the derivative of sin(x) using the first...
Cartesian to polar equations: The Cartesian coordinate system and the Polar coordinate system are two different ways of representing points in a plane. In this blog,...
Matrices are powerful mathematical tools utilized in a variety of areas, including engineering, computer science, economics, and physics. Understanding all types of marices and their properties...
Cartesian coordinate planes are a set of values that determine a point’s position in space. These values are often represented numerically and are based on a...
A key concept of linear algebra is the Cayley-Hamilton theorem matrix, which states that each square matrix satisfies its own characteristic equation. The Theorem Statement Suppose...
