Final answer to the problem
0
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the definition
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
- Load more...
Can't find a method? Tell us so we can add it.
1
Find the derivative of $3$ 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 $3$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
$\lim_{h\to0}\left(\frac{3-3}{h}\right)$
2
Subtract the values $3$ and $-3$
$\lim_{h\to0}\left(\frac{0}{h}\right)$
3
Zero divided by anything is equal to zero
$\lim_{h\to0}\left(0\right)$
4
The limit of a constant is just the constant
0
Final answer to the problem
0