What is the derivative of x^3 + 3/2 x^2 - sin (x) ?
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The rules for derivatives, is you bring the power down, and subtract 1 from the exponent. So, For example
So we continue to do this for the first parts of the problem
For the trig function -sin(x).
Well, cos(x)=-sin(x). Thus, the derivative -sin(x)=cos(x)
Thus the finished derivative is
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