Question Number 222359 by MathematicalUser2357 last updated on 23/Jun/25
![(1) [ax^3 +bx^2 +cx+d]_x ′ (2) [x(x−a)^2 ]_x ′ (3) [(x^2 −x)(x^2 −4)]_x ′ (4) [(x+2)(x−5)(x−1)]_x ′](Q222359.png)
$$\left(\mathrm{1}\right)\:\left[{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}\right]_{{x}} ' \\ $$$$\left(\mathrm{2}\right)\:\left[{x}\left({x}−{a}\right)^{\mathrm{2}} \right]_{{x}} ' \\ $$$$\left(\mathrm{3}\right)\:\left[\left({x}^{\mathrm{2}} −{x}\right)\left({x}^{\mathrm{2}} −\mathrm{4}\right)\right]_{{x}} ' \\ $$$$\left(\mathrm{4}\right)\:\left[\left({x}+\mathrm{2}\right)\left({x}−\mathrm{5}\right)\left({x}−\mathrm{1}\right)\right]_{{x}} ' \\ $$
Commented by MathematicalUser2357 last updated on 23/Jun/25
![Where (d/dx)f(x)=[f(x)]_x ′](Q222361.png)
$${Where}\:\frac{{d}}{{dx}}{f}\left({x}\right)=\left[{f}\left({x}\right)\right]_{{x}} ' \\ $$