Question

derivada da função f(x)=3x.5lnx

Answer 1

3x' × 5lnx + 3x × 5lnx'
f(x)= 3 × 5lnx +3x × 5×x'/x
f(x)= 3 × 5lnx + 3x × 5×1/x
f(x)= 3 × 5lnx + 3x × 5/x
f(x)= 15lnx + 15x/x (simplificamos o x)
f'(x)= 15lnx + 15

Answer 2

Boa tarde Lgm 

f(x) = 3x*5ln(x) 
f(x) = 15x*ln(x) 

f(x) = 15*g(x)*h(x) 

g(x) = x,  g'(x) = 1
h(x) = ln(x), h'(x) = 1/x

f'(x) = 15*(g(x)*h'(x) + g'(x)*h(x))
f'(x) = 15*(x/x + 1*ln(x)) = 15*(ln(x) + 1)

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