When differentiating constant dy/dx is equal to what

Mathematics

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When differentiating a constant, dydx\frac{dy}{dx} is equal to 0.

  1. Understand the concept of a constant.

    A constant is a value that does not change. For example, if y=cy = c, where cc is any real number (e.g., y=5y=5, y=−10y=-10, y=πy=\pi).

  2. Apply the differentiation rule for constants.

    The derivative of a constant with respect to any variable is always zero because the rate of change of a value that does not change is zero.

    ddx(c)=0\frac{d}{dx}(c) = 0

    Therefore, if yy is a constant, then dydx=0\frac{dy}{dx} = 0.

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