(A) The derivative of a function $f(x)$ is defined as $f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$.Given $f(x) = 10x$,we have $f(x+h) = 10(x+h) =

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(A) The derivative of a function $f(x)$ is defined as $f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$.Given $f(x) = 10x$,we have $f(x+h) = 10(x+h) = 10x + 10h$.Substituting these into the limit definition:$f'(x) = \lim_{h \to 0} \frac{(10x + 10h) - 10x}{h}$$f'(x) = \lim_{h \to 0} \frac{10h}{h}$$f'(x) = \lim_{h \to 0} (10) = 10$.