2007-07-15 19:38:41 · 3 answers · asked by mm 1 in Science & Mathematics ➔ Mathematics
Split it! First split the function which is
f(x)=|x|=x if x is positive or -x when x is negative.
Take their derivative and you get
f'(x)=1 if x is positive, -1 if x is negative. Remeber, at x=0, the derivative doesn't exist.
2007-07-15 19:43:46 · answer #1 · answered by The Prince 6 · 2⤊ 0⤋
This is how you would define the piecewise
of the absolute value of x.
x > 0 f(x) = x
x < 0 f(x) = -x
So take the derivative of these functions on there respective intervals to find the answer.
2007-07-15 19:44:02 · answer #2 · answered by ≈ nohglf 7 · 1⤊ 0⤋
D(|x|) = |x|/x ..... just differentiate (x^2)^(1/2) by chain rule. dont simplify
= 1 if x is positive
= dne if x = 0
= -1 if x is negative
d:
2007-07-15 19:42:59 · answer #3 · answered by Alam Ko Iyan 7 · 1⤊ 0⤋