Question

If f(x) = e^x sin x, then df(x)
1. e^x sin x<br
2.e^x cos x<br
3.e^x(sin x + cos x)
4. e^x(sin x - cosx) ​

Answer 1

Answer:

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Explanation:

f(x) = e^x sin x

Let u = x sin x

f(x) = e^u

du/dx = sinx + x cos x

dy/du = e^u

Therefore f'(x) = (sinx + x cos x)*e^u = (sinx + x cos x)*e^x sinx

Answer 2

Answer:

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Explanation:

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