d/dx(sinx)
To find the derivative of sin(x) with respect to x, we can use the chain rule of differentiation
To find the derivative of sin(x) with respect to x, we can use the chain rule of differentiation. The chain rule states that if we have a composition of functions, we can compute the derivative by taking the derivative of the outer function, multiplied 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 sin(x) is cos(x), and the derivative of x is 1.
Therefore, applying the chain rule, we have:
d/dx(sinx) = cos(x) * d/dx(x)
Since the derivative of x is 1, we get:
d/dx(sinx) = cos(x) * 1
Simplifying, we have:
d/dx(sinx) = cos(x)
So, the derivative of sin(x) with respect to x is cos(x).
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