# How to find the derivative of an absolute value function

What is the derivative of an absolute value?

Using the formula of derivative of absolute value function, we have. {(x-2)2 + |x-2|}' = [(x-2)2]' + |x-2|'. {(x-2)2 + |x-2|}' = 2(x-2) + [ (x-2)/|x-2|] ? (x-2)'. {(x-2)2 + |x-2|}' = 2(x-2) + [ (x-2)/|x-2|] ? (1) {(x-2)2 + |x-2|}' = 2(x-2) + (x-2) / |x-2|. Solution to Example 1. Noting that | u | = v (u 2), let u = x - 1 so that f (x) may be written as. f (x) = y = v (u2) We now use the chain rule. f ' (x) = (dy / du) (du / dx) = (1/2) (2 u) / v (u2) (du / dx) = u. u' / | u |. = u. 1 / v (u2) = (x - 1) / |x - 1|.

In this section, you will learn, how to find the derivative of absolute value function. Let f x be the absolute value function. Then the formula to find the derivative of f x is given below. Based on the formula given, let us what is fat freezing treatment the derivative of x.

Therefore, the derivative of x is. Let us plug some random values for "x" in y. Let us summarize the above calculation in table. Now, based on the table given above, we can get the graph of derivative of x. Example 1 :. Solution :. Using the formula of derivative of absolute value function, we have. Differentiate x 3 with respect to x. In the given function x 3u sing chain rule, first we have to find derivative for the exponent what are cameras made of and then for x.

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Jul 02,  · Summary of How to Find the Derivative of Absolute Value. If you plot the graph of |x|, you’ll see that there are only two possible slopes, which are +1 when x is positive and -1 when x is negative. Also, you cannot define this slope when x is loveallfind.comted Reading Time: 5 mins. Oct 01,  · Derivative of absolute value. We can find the Derivative of an absolute value of any function with the help of the steps involving derivative of absolute value. The formula for derivative of absolute value is defined as d/dx |x| = (x* dy/dx) / |x|, where x will not be = 0 Graph for Derivative of Absolute Value. The absolute value of any number whether number is positive or negative, is always positive. Derivative of absolute value help us to find the derivative of the absolute value of any function. The formula of derivative of absolute value is as follows: .

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Get A Tutor. To understand the derivative of absolute value, first we need to understand the meaning of absolute value. Absolute value is defined as the non negative value of a number. Suppose y is any positive number then absolute value is represented by the y. The absolute value of any number whether number is positive or negative, is always positive. Derivative of absolute value help us to find the derivative of the absolute value of any function.

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