Derivative And Integral of Modulus Function
The derivative and integral of modulus function are discussed below.
Derivative of Modulus Function
The derivative of modulus function is given by:
(d / dx) (|x|) = x / |x|
Integral of Modulus Function
The integral of modulus function is given by:
∫ |x| dx = (1 / 2)x2 + C if x ≥ 0
∫ |x| dx = -(1 / 2)x2 + C if x < 0
Modulus Function
Modulus function gives the absolute value or magnitude of a number irrespective of the number is positive or negative. The modulus function is denoted as y = |x| or f(x) = |x|, where f: R→ [0, ∞) and x ∈ R. In this article we will explore modulus function, modulus function formula domain and range of modulus function, modulus function graph, modulus function properties. We will also discuss the application of modulus function and derivative and integral of modulus function. Let’s start our learning on the topic “Modulus Function”.