- #1
nil1996
- 301
- 7
how do we take derivative of modulus of a function??
Derivative of modulus of a function
- Thread starter nil1996
- Start date
-
- Tags
- Derivative Function Modulus
Click For Summary
To find the derivative of the modulus of a function, the formula |f(x)| = f(x) * sign(f(x)) can be applied. This allows the use of the product rule for differentiation, with the caveat that the derivative does not exist at points where f(x) = 0 unless f' also equals 0. The discussion also raises the question of whether the function in question is of a real or complex variable. Understanding these nuances is crucial for correctly applying differentiation techniques. Overall, the derivative of the modulus requires careful consideration of the function's behavior at critical points.
- #2
tiny-tim
Science Advisor
Homework Helper
- 25,837
- 258
hi nil1996! 
|f(x)| = f(x) times sign(f(x))
so you can use the product rule, except where f(x) = 0 (where |f|' won't exist unless f' = 0)
|f(x)| = f(x) times sign(f(x))
so you can use the product rule, except where f(x) = 0 (where |f|' won't exist unless f' = 0)
- #3
brmath
- 337
- 34
Are you talking about a function of a real or complex variable?
Similar threads
- · Replies 4 ·
- · Replies 2 ·
Undergrad
Second derivative of chained function
- · Replies 14 ·
- · Replies 5 ·
- · Replies 5 ·
Undergrad
Derivation of Voigt's Shear Modulus
- · Replies 1 ·
- · Replies 17 ·
- · Replies 8 ·
Undergrad
Taking the derivative of a function
- · Replies 15 ·
- · Replies 16 ·