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What is the derivative of the absolute value of cos(x)?
The derivative of absolute value of cos(x) is the rate of change of the function at a specific point. It is the slope of the tangent line to the graph of the function at that point.
The derivative of absolute value of cos(x) is calculated by using the chain rule. The derivative of absolute value of cos(x) is equal to the derivative of cos(x) multiplied by the derivative of the absolute value of x.
The derivative of absolute value of cos(x) at x=0 is equal to 0. This is because the graph of the function has a sharp point at x=0, and the slope of the tangent line at a sharp point is always 0.
Yes, the derivative of absolute value of cos(x) can be negative. This happens at points where the slope of the tangent line to the graph of the function is negative. This occurs when the value of x is between -π/2 and π/2.
The derivative of absolute value of cos(x) is equal to the derivative of cos(x) multiplied by the sign of cos(x). This means that the derivative of absolute value of cos(x) is equal to the derivative of cos(x) when cos(x) is positive, and equal to the negative of the derivative of cos(x) when cos(x) is negative.