Question

Funciones derivadas
f(x)=3x^4-2x^3+7x+10
f(x)=cosx*e^x
f(x)=4x^3*ln^x

Answer 1

Formula de derivar productos
(f(x)g(x)) ' = f'(x)g(x) + f(x)g'(x)

f(x)=3x⁴-2x³+7x+10
f'(x)=12x³-6x²+7

f(x)=cos(x)*e^x
f'(x)= -sen(x)*e^x + cos(x)*e^x
=e^x(cos(x)-sen(x))

f(x) =4x³ * ln(x)
f'(x) = 12x²*ln(x) + 4x³ * 1/x
=12x²*ln(x) + 4x²
=4x²(3ln(x)+1)