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प्रश्न
If f(x) = x|x|, then f'(x) = ______.
रिक्त स्थान भरें
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उत्तर
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|.
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