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Home › AP EAPCET (Engineering) › Mathematics › Differentiation › Using linearity, find d/dx of 3 sin x + 2 cos x.

Using linearity, find d/dx of 3 sin x + 2 cos x.

A3 sin x - 2 cos x
B3 cos x - 2 sin x
C-3 cos x - 2 sin x
D3 cos x + 2 sin x
Answer & Solution
Correct answer: B. 3 cos x - 2 sin x
Each term is differentiated separately: 3 sin x gives 3 cos x and 2 cos x gives -2 sin x.
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