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Solve and show work:) 19. f'(x) = lim f(x+h)-f(x) h 3h lim ho h =lim 3=3 A-0 H lim A-0 Domain off domain of f'

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[ begin{aligned} f^{prime}(x) &=lim _{h ightarrow 0} frac{f(x+h)-f(x)}{h}=lim _{h ightarrow 0} frac{[3(x+h)-8]-(3

( begin{aligned} f^{prime}(t) &=lim _{h ightarrow 0} frac{f(t+h)-f(t)}{h}=lim _{h ightarrow 0} frac{left[2.5(t+h)

[ begin{aligned} f^{prime}(x) &=lim _{h ightarrow 0} frac{f(x+h)-f(x)}{h}=lim _{h ightarrow 0} frac{left[(x+h)^{2

[ begin{aligned} g^{prime}(x) &=lim _{h ightarrow 0} frac{g(x+h)-g(x)}{h}=lim _{h ightarrow 0} frac{sqrt{9-(x+h)- 

  

19. f'(x) = lim f(x+h)-f(x) h 3h lim ho h =lim 3=3 A-0 H lim A-0 Domain off domain of f' = R.. [3(x+h)-8]-(3x-8) h 11 lim 3x +3h 8-3x+8 - h

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