d/dx sin x
cos x
To find the derivative of sin x with respect to x, we need to apply the derivative rules. Specifically, the derivative of sin x is found by taking the derivative of the function cos x, which is the derivative of sin x’s inside function. Therefore:
d/dx sin x = cos x
This means that the slope of the graph of sin x at any point is equal to the corresponding value of cos x at that point. For example, if x = π/2, sin x = 1 and cos x = 0, so the slope of the graph of sin x at x = π/2 is 0.
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