d/dx sinx
To find the derivative of sin(x) with respect to x, we can use the chain rule and the derivative of the sine function
To find the derivative of sin(x) with respect to x, we can use the chain rule and the derivative of the sine function.
The chain rule states that if we have a composite function f(g(x)), the derivative of that function can be found by taking the derivative of the outer function f'(g(x)) and multiplying it by the derivative of the inner function g'(x).
In this case, our outer function is sin(x) and our inner function is x. The derivative of the sine function is cos(x), and the derivative of x with respect to x is simply 1.
So, using the chain rule, we get:
d/dx sin(x) = cos(x) * d/dx (x) = cos(x) * 1 = cos(x)
Therefore, the derivative of sin(x) with respect to x is cos(x).
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