Find the derivative at x=2 of the function f( | vedclass

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(A) We have the function $f(x) = 3x$.To find the derivative at $x=2$,we use the definition of the derivative:$f'(2) = \lim_{h 	o 0} \frac{f(2+h) - f(

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(A) We have the function $f(x) = 3x$.To find the derivative at $x=2$,we use the definition of the derivative:$f'(2) = \lim_{h 	o 0} \frac{f(2+h) - f(2)}{h}$Substituting $f(x) = 3x$ into the formula:$f'(2) = \lim_{h 	o 0} \frac{3(2+h) - 3(2)}{h}$$f'(2) = \lim_{h 	o 0} \frac{6 + 3h - 6}{h}$$f'(2) = \lim_{h 	o 0} \frac{3h}{h}$$f'(2) = \lim_{h 	o 0} 3 = 3$Thus,the derivative of the function $f(x) = 3x$ at $x=2$ is $3$.

Find the derivative at $x=2$ of the function $f(x)=3x$.

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