Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Load more...
Find the derivative of $ex$ 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 $ex$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{ex-ex}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of ex using the definition. Find the derivative of ex 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 ex. Substituting f(x+h) and f(x) on the limit, we get. Combining like terms ex and -ex. Subtract the values 1 and -1. Any expression multiplied by 0 is equal to 0.
