Question

CALCULAR A DERIVADA F(X)=10X +3

Answer 1

$\mathtt{f(x)=10x+3}$


Calculando a derivada pela definição:

$\displaystyle\mathtt{f'(x)=\lim_{h\to 0}~\frac{f(x+h)-f(x)}{h}}\\\\\\ \mathtt{f'(x)=\lim_{h\to 0}~\frac{(10(x+h)+3)-(10x+3)}{h}}\\\\\\ \mathtt{f'(x)=\lim_{h\to 0}~\frac{10x+10h+3-10x-3}{h}}\\\\\\ \mathtt{f'(x)=\lim_{h\to 0}~\frac{10\diagup\!\!\!\! h}{\diagup\!\!\!\! h}}\\\\\\ \mathtt{f'(x)=\lim_{h\to 0}~10}\\\\\\ \boxed{\begin{array}{c}\mathtt{f'(x)=10} \end{array}}$


Dúvidas? Comente.


Bons estudos! :-)