Calcular las derivadas de las siguientes funciones:
f(x) = p3 � x2
f(x) = ln(x2 � x + 1)
f(x) = cos(x/2)sen(x)
f(x) = r(1 � x)/x
f(x) = e^(-x^2+3)
f(x) = sen^2(✓(x+2)/(x+1))
f(x) = sen(1 � x)cos^3(x)
f(x) = r(cos^3(x^2))
f(x) = r(1 � cos(x^3))
f(x) = 3p(sen^2(5x))
f(x) = e^(sen(x^2))
f(x) = e^x/(1 � e^x)
f(x) = e/(1+x)
f(x) = e^tg(x^2)
f(x) = e^(p/(1�x^2))
f(x) = 2x/(3�3x^2)
f(x) = 5x/(x^5)
f(x) = 2x/(x^2 + x)
f(x) = 3/(r(1�x))
f(x) = cos^2(2x+1)/(x+1)
a. f'(x) = -2x/(3(p3 � x2))
b. f'(x) = (2x-1)/(x2 � x + 1)
c. f'(x) = -1/2cos(x/2)sen(x) + 1/2cos(x)cos(x/2)
d. f'(x) = (r(1 � x) + x(r(1 � x)))/(x^2)
e. f'(x) = -2xe^(-x^2+3)
f. f'(x) = (✓(x+2)/(x+1))(2cos(✓(x+2)/(x+1))sen(✓(x+2)/(x+1)))/(x+1)
g. f'(x) = -cos(1 � x)cos^3(x) � 3sen(1 � x)sen(x)cos^2(x)
h. f'(x) = -3xsen(x^2)cos^3(x^2)/(r(cos^3(x^2)))
i. f'(x) = (3x^2sen(x^3))/(2r(1 � cos(x^3)))
j. f'(x) = 15p(sen(5x)cos(5x))
k. f'(x) = 2xsen(x^2)e^(sen(x^2))
l. f'(x) = e^x/(1 � e^x)^2
m. f'(x) = -e/(1+x)^2
n. f'(x) = 2xetg(x^2)(1 + tg^2(x^2))
o. f'(x) = (2px)/(x^2(p/(1�x^2)))^2
p. f'(x) = 2/(3�3x^2) � 4x/(3(x^2 + 1)^2)
q. f'(x) = -5/(x^6) + 5ln(5)/(x^5)
r. f'(x) = 2/(x^2 + x) � 2x/(x^2 + x)^2
s. f'(x) = 3/(r(1�x)^2)
t. f'(x) = -sen(2x+1)/(x+1)^2 + 2cos(2x+1)/(x+1)^3