One definition of the derivative is: "Rate of change". Since a constant is constant,
it doesn't change, and the rate at which it changes is zero.
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You take the derivative using only one variable. The other variables act as constants.
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Derivative of a constantThe derivative of any constant is zero. This can be easily conceptualized if you think of the graph of any constant value. The derivative can be thought of as the slope of the line tangent to a curve at any given point. If you graph the expression y = 3, for example, it is just a horizontal line intercepting the y axis at 3. The slope of that line is, of course, equal to zero, for any point on the curve (which in this case is a straight line). Therefore, the derivative (with respect to x) of y = 3 is zero. Since the slope of any horizontal line is zero, the derivative of any line of the form y = k, where k is a constant, is zero.Answer2:Any constant quantity and an expression that has a maximum or minimum or both, has a derivative equal to zero.
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
"Pi divided by 2" is a number, i.e. a constant. The derivative is the rate of change. The derivative of any constant is zero, because a constant never changes.