Advertisements
Advertisements
Question
If f(x) = x|x|, then f'(x) = ______.
Fill in the Blanks
Advertisements
Solution
If f(x) = x|x|, then f'(x) = 2|x|.
Explanation:
f(x) = x|x|
f(x) = `{:[(x^2",", x ≥ 0),(-x^2",", x < 0):}`
f'(x) = `{:[(2x",", x ≥ 0),(-2x",", x < 0):}`
Hence, f'(x) is differential everywhere f'(x) = 2|x|.
shaalaa.com
Is there an error in this question or solution?
