Derivative of sin x
cos x
The derivative of sin(x) is cos(x).
Here is the process to find the derivative of sin(x):
1. Write down sin(x) as the function you want to differentiate.
2. Apply the chain rule, which is a rule that tells us how to take the derivative of a composite function. In this case, the composition is sin(x) composed with x, where x is the argument of sin. The chain rule tells us to first evaluate the derivative of the outer function (sin(x)), which is cos(x), and then multiply by the derivative of the inner function, which is 1.
3. Simplify the expression to get the final answer:
d/dx(sin(x)) = cos(x)
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