Final answer to the problem
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...
Find the derivative of $\sin\left(\pi \cdot 2\right)$ 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 $\sin\left(\pi \cdot 2\right)$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get
Learn how to solve definition of derivative problems step by step online.
$\lim_{h\to0}\left(\frac{\sin\left(\pi \cdot 2\right)-\sin\left(\pi \cdot 2\right)}{h}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of sin(pi*2) using the definition. Find the derivative of \sin\left(\pi \cdot 2\right) 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 \sin\left(\pi \cdot 2\right). Substituting f(x+h) and f(x) on the limit, we get. Factor the polynomial \sin\left(\pi \cdot 2\right)-\sin\left(\pi \cdot 2\right) by it's greatest common factor (GCF): \sin\left(\pi \cdot 2\right). Subtract the values 1 and -1. Any expression multiplied by 0 is equal to 0.
