### Triangle Proportionality Theorem – Explanation and Examples

The triangle proportionality theorem states that if we draw a line parallel to one side of a triangle so that it intersects the remaining two sides, then both sides are divided in the same proportion or divided equally. The triangle proportionality theorem is also known as the side-splitting theorem as it splits both sides into […]

### What Is the Derivative of xln x?

The derivative of $xln x$ is $ln x+1$. In mathematics, a derivative is the rate of change of a function with respect to a parameter. Derivatives are essential for solving differential equations and calculus problems. Throughout this complete guide, we will go over the steps for calculating the derivative of $xln x$. What Is […]

### Can You Multiply a 4 x 2 and a 2 x 4 Matrix?

It is possible to multiply a $4times 2$ and a $2times4$ matrix, and the resulting matrix will be a $4times4$ matrix. In mathematics, a matrix refers to a rectangular arrangement or numbers table, expressions, or symbols arranged in columns and rows. On matrices, you can carry out different operations — for instance: addition, subtraction, multiplication, […]

### Antiderivative Graph: Complete Explanation and Examples

The antiderivative graph is the graph of the antiderivative or integral of a given function. Take note that if we take the antiderivative of a derivative, it will provide us with the original function. Hence, when we want to sketch or draw the graph of an antiderivative, we are converting a derivative function to its […]

### Sin^-1 x – Detailed Explanation and Examples

The function $sin^{-1}x$, also known as the inverse sine function, is an inverse form of a trigonometric function, and theoretically, we call it a sine inverse “x” function. It can also be written as arc $sin(x)$ or can be read as arc of $sin(x)$ function. This function represents the inverse of the original sin(x) function. […]