JEE Main · MathematicsEasy

$Find the derivative of f (x) = sin (x) + cos (x) .$

A. $cos (x) + sin (x)$
B. $cos (x) - sin (x)$
C. $- cos (x) + sin (x)$
D. $- cos (x) - sin (x)$

Show correct answer & step-by-step solution

Correct answer: B — $cos (x) - sin (x)$

Solution

The derivative of sin (x) is cos (x) and the derivative of cos (x) is - sin (x) . Thus, \frac{d}{d x} (sin (x) + cos (x)) = cos (x) - sin (x) .

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