# What is the derivative of x sinx

## Derivative Proof of sin(x)

We can prove the derivative of sin(x) using the limit definition and the double angle formula for trigonometric functions.

## Derivative proof of sin(x)

For this proof, we can use the limit definition of the derivative.

Limit Definition for sin:

Using angle sum identity, we get

Rearrange the limit so that the sin(x)'s are next to each other

Factor out a sin from the quantity on the right

Seperate the two quantities and put the functions with x in front of the limit (We are only concerned with the limit of h)

We can see that the first limit converges to 1

and the second limit converges to 0.

We can plug in 1 and 0 for the limits and get cos(x)

- What are lock in period ULIPs
- How was Wimbledon named
- How do two people start dating
- Do brands rule our lives
- TOP 10 HR SOFTWARE LIST
- Which GitHub license should I use
- What situations encouraged you to study astrology
- Does anyone ever have enough money
- What does a light meter measure
- How similar are Concorde and Tu 144
- What is magnetic equator
- How did you buy your favourite clothes
- How should someone talk to their crush
- Can anybody be bisexual
- Is enamored a verb or an adjective
- What is the effect of soil erosion?no_redirect=1