Question

encontre a derivada da função dada f(x)=5x+7/2x-2​

Answer 1

Resposta:

f'(x)=6/(x-1)²

Explicação passo-a-passo:

f(x)=5x+7/2x-2​

f'(x)=(5x+7/2x-2)'

​f'(x)=[2.(5x+7)-5(2x-2)]/(2x-2)²

​f'(x)=[10x+14-10x+10)]/(2x-2)²

​f'(x)=24/(2.(x-1))²

f'(x)=24/4(x-1)²

f'(x)=6/(x-1)²