Derivatives of polynomial

The derivative of a polynomial is obtained by differentiating each term of the polynomial with respect to the variable. For example, let’s consider the polynomial: f(x) = 5x^3 + 2x^2 – 7x + 4 To find its derivative, we differentiate each term with respect to x: f'(x) = (d/dx)(5x^3) + (d/dx)(2x^2) – (d/dx)(7x) + (d/dx)(4)…

Inverse trigonometric functions (principal value only) and their elementary properties

Inverse trigonometric functions are functions that return the angle whose trigonometric ratio is a given value. Here are the principal value only of inverse trigonometric functions and their elementary properties: It is important to note that inverse trigonometric functions are not always unique, as they depend on the quadrant in which the angle lies. For…