Find the derivative of the constant function | vedclass

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(A) By the definition of the derivative,we have: $f'(x) = \lim_{h 	o 0} \frac{f(x+h) - f(x)}{h}$ Since $f(x) = a$ is a constant function,$f(x+h) = a$

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$0$

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(A) By the definition of the derivative,we have: $f'(x) = \lim_{h 	o 0} \frac{f(x+h) - f(x)}{h}$ Since $f(x) = a$ is a constant function,$f(x+h) = a$ and $f(x) = a$. Substituting these values,we get: $f'(x) = \lim_{h 	o 0} \frac{a - a}{h}$ $f'(x) = \lim_{h 	o 0} \frac{0}{h}$ Since $h 
eq 0$ as $h 	o 0$,the expression $\frac{0}{h}$ is equal to $0$. Therefore,$f'(x) = 0$.

Find the derivative of the constant function $f(x) = a$ for a fixed real number $a$.

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