can someone help me find f'(x)?

Question

if f(x) = 5sinx / 2 + cosx ,,,,, what would f '(x) be?

Answer 1

if f(x) = 5sinx / 2 + cosx ,,,,, what would f '(x) be?

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top part: again : low d high - high d low

d high : d/dx 5sin (x) = 5cos (x)

d low : d/dx 2 + cos(x) = - sin (x)

TOP PART: [2 + cos(x)] * 5cos (x) - 5sin (x) * [- sin (x)]

---- simplify = [2 + cos(x)] * 5cos (x) + 5sin² (x)

BOTTOM PART: low² = [2 + cos (x)]²

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FINAL ANSWER:

[2 + cos(x)] * 5cos (x) + 5sin² (x) ------ top

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[2 + cos (x)]² ---------- bottom

Answer 2

5cos(x)/2 -sin(x)