The calculator will find the derivative of
x3−2x at
x=c, with steps shown.
Related calculators:
Logarithmic Differentiation Calculator,
Implicit Differentiation Calculator with Steps
Solution
The derivative of a sum/difference is the sum/difference of derivatives:
(dxd(x3−2x))=(dxd(x3)−dxd(2x))Apply the constant multiple rule dxd(cf(x))=cdxd(f(x)) with c=2 and f(x)=x:
−(dxd(2x))+dxd(x3)=−(2dxd(x))+dxd(x3)Apply the power rule dxd(xn)=nxn−1 with n=3:
(dxd(x3))−2dxd(x)=(3x2)−2dxd(x)Apply the power rule dxd(xn)=nxn−1 with n=1, in other words, dxd(x)=1:
3x2−2(dxd(x))=3x2−2(1)Thus, dxd(x3−2x)=3x2−2.
Finally, evaluate the derivative at x=c.
(dxd(x3−2x))∣(x=c)=3c2−2
Answer
dxd(x3−2x)=3x2−2A
(dxd(x3−2x))∣(x=c)=3c2−2A