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blsea [12.9K]
3 years ago
9

I need help on #10. very confused

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Step-by-step explanation:

\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}

\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)

\:\:\:\:\: \displaystyle= 2x

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