Derivative of sin(x)
To find the derivative of the function sin(x), we can use the basic differentiation rules
To find the derivative of the function sin(x), we can use the basic differentiation rules.
The derivative of sin(x) can be found by differentiating term-by-term using the chain rule.
1. Start by differentiating the inside function (x) with respect to x, which is simply 1.
2. Then, differentiate the outer function (sin(x)) with respect to the inside function (x), using the chain rule. The derivative of sin(x) is cos(x).
3. Multiply the derivative of the outer function (cos(x)) with the derivative of the inside function (1).
So, the derivative of sin(x) is cos(x).
In mathematical notation, we can write it as:
d/dx(sin(x)) = cos(x)
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