Derivative of u.v is given by- *
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For example, to take the derivative of x2 sin(x), let u = x2 and v = sin(x). Then u/ = 2x and v/ = cos(x), so the derivative of uv is x2 cos(x) + 2xsin(x). , which simplifies to 1/cos2(x) = sec2(x), since sin2(x) + cos2(x) = 1. (u) du dx .
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