Mathematics, 27.06.2019 02:30 YatesDevon3371
Find the derivative of the function using the definition of derivative. g(x) = 5 − x (1) find g'(x) (2) state the domain of the function. (enter your answer using interval notation.) (3) state the domain of its derivative. (enter your answer using interval notation.)
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![g(x)=5-x\\g'(x)=\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{[5-(x+h)]-[5-x]}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{5-x-h-5+x}{h}\\g'(x)=\lim_{h \rightarrow 0} \frac{-h}{h}\\g'(x)=\lim_{h \rightarrow 0} -1\\g'(x)=-1](/tpl/images/0021/6994/d467f.png)
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Find the derivative of the function using the definition of derivative. g(x) = 5 − x (1) find g'(x)...
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