Find the derivative of $0$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $0$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Add the values $0$ and $0$
Zero divided by anything is equal to zero
The limit of a constant is just the constant
Try other ways to solve this exercise
Get a preview of step-by-step solutions.
Earn solution credits, which you can redeem for complete step-by-step solutions.
Save your favorite problems.
Become premium to access unlimited solutions, download solutions, discounts and more!