d/dx [sinx] =
To compute the derivative of the function f(x) = sin(x), we can use the basic property that the derivative of sin(x) with respect to x is equal to cos(x)
To compute the derivative of the function f(x) = sin(x), we can use the basic property that the derivative of sin(x) with respect to x is equal to cos(x). This can also be written symbolically as:
d/dx [sin(x)] = cos(x)
This means that the derivative of the sine function with respect to x is equal to the cosine function. The cosine function represents the rate of change of the sine function at any given point.
To understand this concept graphically, you can plot the graphs of sin(x) and cos(x) on a coordinate plane. The derivative, or the slope of the tangent line, of sin(x) at any point can be found by evaluating the corresponding point on the graph of cos(x).
So, in summary, the derivative of sin(x) with respect to x is equal to cos(x).
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