if f(x) = e^xsinx , then df(x)/dx is
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f(X)= e^xsinx
derivative of f(X) is
d/dx (uv) = u d/dx(v)+V d/dx (u)
e ^x d/dx (sinx) + sinx d/dx (e^x)
e^xcosx+sinxe^x
e^x(cosx+sinx)
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