Find the derivative of f(x) = x^2. | vedclass

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(A) We have,$f'(x) = \mathop {\lim }\limits_{h 	o 0} \frac{f(x+h) - f(x)}{h}$.Substituting $f(x) = x^2$,we get:$f'(x) = \mathop {\lim }\limits_{h 	o

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$2x$

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(A) We have,$f'(x) = \mathop {\lim }\limits_{h 	o 0} \frac{f(x+h) - f(x)}{h}$.Substituting $f(x) = x^2$,we get:$f'(x) = \mathop {\lim }\limits_{h 	o 0} \frac{(x+h)^2 - x^2}{h}$.Expanding the numerator:$f'(x) = \mathop {\lim }\limits_{h 	o 0} \frac{x^2 + 2xh + h^2 - x^2}{h}$.Simplifying the expression:$f'(x) = \mathop {\lim }\limits_{h 	o 0} \frac{2xh + h^2}{h} = \mathop {\lim }\limits_{h 	o 0} (2x + h)$.Evaluating the limit as $h 	o 0$:$f'(x) = 2x + 0 = 2x$.

Find the derivative of $f(x) = x^2$.

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