Mathematics · Differentiability
If f and g are two real-valued continuous functions such that f + g and f - g are differentiable, then which of the following statements is true?
- 1Neither f nor g is differentiable.
- 2g is differentiable but f is not.
- 3Both f and g are differentiable.✓
- 4f is differentiable but g is not.
Correct answer
Both f and g are differentiable.
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