derivative of sin(x)
The derivative of sin(x) with respect to x can be found using the chain rule
The derivative of sin(x) with respect to x can be found using the chain rule. The chain rule states that if we have a composition of functions, then the derivative is obtained by taking the derivative of the outer function and multiplying it by the derivative of the inner function.
In this case, the outer function is sin(x) and the inner function is x. The derivative of the inner function with respect to x is simply 1.
Now, let’s find the derivative of the outer function, sin(x). The derivative of sin(x) is cos(x). This is a well-known result in calculus.
Combining these results using the chain rule, the derivative of sin(x) with respect to x is:
d/dx (sin(x)) = cos(x)
So, the derivative of sin(x) is cos(x).
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