Question

por favor me ayudan a derivar el ejrcicio 12 y 15 18

Answer 1

Hola Nicolenaty,

12.
f(x) = (3x.- x²)(3 - x - x²)
$f(x) = 9x - 6x^{2} -2 x^{3}+ x^{4}$
$f'(x) = 9 - 12x -6 x^{2} +4 x^{3}$

15. 
$f(p) = \frac{3}{2}(5 \sqrt{p} -2)(3p-1)$
$f(p) = - \frac{15}{2} p^{ \frac{1}{2}} -9p+ \frac{45}{2} p^{ \frac{3}{2}} + 3$
$f'(p)= -\frac{15}{4} p^{-\frac{1}{2} }+ \frac{135}{4} p^{ \frac{1}{2}}-9$

18)
f(x) = (x-1)(x-2)(x-3)
$f(x)= x^{3} -8 x^{2} +11x -6$
$f'(x)=3 x^{2} -16x + 11$