Question

qual a derivada função f(x)=7x

Answer 1

f(x)=X^p ---> f(x)`= X^p-1

f(x)=7x¹ --> F(x)`=7x¹-¹=  7.x^0= 7.1= 7

Answer 2

 Pela definição,

$f'(x)=\lim_{x\rightarrow\,h}\frac{f(x)-f(h)}{x-h}\\\\f'(x)=\frac{7x-7h}{x-h}\\\\f'(x)=\frac{7(x-h)}{x-h}\\\\\boxed{f'(x)=7}$