You take the derivative using only one variable. The other variables act as constants.
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If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
First find the derivative of each term. The derivative of any constant is zero, so d(1)/dx=0. To find the derivative of cos2x, use the chain rule. d(cos2x)/dx=-sin(2x)(2)=-2sin(2x) So the answer is 0-2sinx, or simply -2sinx
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
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.
"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.