Question

15. Si f(x) = 2x + 3, el valor de (f(x+h)-f(x))/h es:​

Answer 1

Respuesta:

2

Explicación paso a paso:

15. Si f(x) = 2x + 3, el valor de (f(x+h)-f(x))/h es:​

f(x) = 2x + 3

f(x+h) = 2(x+h) + 3

$\lim_{h \to\0}0 =\frac{f(x+h)-f(x)}{h} \\\\ \lim_{h \to\0}0 =\frac{ 2(x+h) + 3-(2x+3)}{h} \\\\ \lim_{h \to\0}0 =\frac{ 2x+2h+ 3-2x-3)}{h} \\\\ \lim_{h \to\0}0 =\frac{2h}{h}\\\\ \lim_{h \to\0}0 =2 \: \:dx$