If I have some function $f = (1 + 7i - x)(7 + 5i - x)(3 + 1i - x)$
How do I find its derivative? I know it is $(13/3 + 11i/3 - x)(3 + 5i - x)$ but I don't know how to find it.
If I have some function $f = (1 + 7i - x)(7 + 5i - x)(3 + 1i - x)$
How do I find its derivative? I know it is $(13/3 + 11i/3 - x)(3 + 5i - x)$ but I don't know how to find it.
Expand the function $f$:
$f(x) = -x^3+(11+13i)x^2+(16-98i)x-138+134i.$ Then differentiate as usual.
Factoring the derivative gives:
$f'(x) = (3+5i-x)(3x-13-11i).$