- #1
gillgill
- 128
- 0
how do u differentiate f(x)=│x^2-4│...?
i don't know how to do it with absolute values...
i don't know how to do it with absolute values...
An absolute value represents the distance of a number from zero on a number line, regardless of its sign. It is always positive or zero.
To find the absolute value of an expression, you can use the absolute value symbol, which is two vertical bars around the expression. For example, the absolute value of -3 would be written as | -3 | and would equal 3.
The main difference is that an absolute value is always positive or zero, while a regular value can be positive, negative, or zero. Absolute values are also represented by two vertical bars, while regular values are not.
In order to differentiate an absolute value function, you need to use the chain rule. The derivative of an absolute value function is equal to the derivative of the inside function multiplied by the sign of the inside function. For example, the derivative of |x| would be equal to 1 if x is positive and -1 if x is negative.
The derivative of f(x)=│x^2-4│ is equal to 2x if x is positive and -2x if x is negative. This can also be written as 2x/|x|.