Find the derivative of the function f(x) = -x | vedclass

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(A) Let $f(x) = -x$. Accordingly,$f(x+h) = -(x+h)$.By the first principle of derivatives:$f'(x) = \lim_{h 	o 0} \frac{f(x+h) - f(x)}{h}$Substituting

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$-1$

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(A) Let $f(x) = -x$. Accordingly,$f(x+h) = -(x+h)$.By the first principle of derivatives:$f'(x) = \lim_{h 	o 0} \frac{f(x+h) - f(x)}{h}$Substituting the values:$f'(x) = \lim_{h 	o 0} \frac{-(x+h) - (-x)}{h}$Simplifying the expression:$f'(x) = \lim_{h 	o 0} \frac{-x - h + x}{h}$$f'(x) = \lim_{h 	o 0} \frac{-h}{h}$$f'(x) = \lim_{h 	o 0} (-1)$Therefore,$f'(x) = -1$.

Find the derivative of the function $f(x) = -x$ using the first principle.

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