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Time left 0:09:09Question 5Not yet answeredMarked out of 2.50Flag questionTipsQuestion textDifferentiatef(x)=x+sinx𝑓(𝑥)=𝑥+sin⁡𝑥.Select one:A.1−cosx1−cos⁡𝑥B.1−sinx1−sin⁡𝑥C.1+cosx1+cos⁡𝑥D.sinx

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Time left 0:09:09Question 5Not yet answeredMarked out of 2.50Flag questionTipsQuestion textDifferentiatef(x)=x+sinx𝑓(𝑥)=𝑥+sin⁡𝑥.Select one:A.1−cosx1−cos⁡𝑥B.1−sinx1−sin⁡𝑥C.1+cosx1+cos⁡𝑥D.sinx

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Solution

The derivative of a function can be found using the rules of differentiation.

The derivative of x with respect to x is 1.

The derivative of sin(x) with respect to x is cos(x).

Therefore, the derivative of the function f(x) = x + sin(x) is 1 + cos(x).

So, the correct answer is C. 1 + cos(x).

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