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$4.(4$ MARKS$)$ If $f(x)=x^2+4,$ which of the following is correct?

$($a$)f^{\text{'}}(x)=\frac{[(x+h{)}^2+4]-(x^2+4)}{h}$

$($b$)f^{\text{'}}(x)=\underset{h0}{lim}\frac{[x^2+4+h]-(x^2+4)}{h}$

$($c$)f^{\text{'}}(x)=\underset{h0}{lim}\frac{[(x+h{)}^2+4]-(x^2+4)}{h}$

$($d$)f^{\text{'}}(x)=\frac{[x^2+4+h]-(x^2+4)}{h}$

$($e$)$ None of these

$\backslash$table$[[$a$,$b$,$c$,$d$]]$