The calculator will find the derivative of
x3−3x2, with steps shown.
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Solution
The derivative of a sum/difference is the sum/difference of derivatives:
(dxd(x3−3x2))=(dxd(x3)−dxd(3x2))Apply the constant multiple rule dxd(cf(x))=cdxd(f(x)) with c=3 and f(x)=x2:
−(dxd(3x2))+dxd(x3)=−(3dxd(x2))+dxd(x3)Apply the power rule dxd(xn)=nxn−1 with n=2:
−3(dxd(x2))+dxd(x3)=−3(2x)+dxd(x3)Apply the power rule dxd(xn)=nxn−1 with n=3:
−6x+(dxd(x3))=−6x+(3x2)Simplify:
3x2−6x=3x(x−2)Thus, dxd(x3−3x2)=3x(x−2).
Answer
dxd(x3−3x2)=3x(x−2)A