I donot know whether there is actually a zero-order derivative equation, where the equation is defined as having two sides with equality or inequality sign between them. If the question is about a zero-order derivative function, then the answer is yes, since the zero order derivative is the function itself.
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However, as far as we can talk about the differential equation- there is no meaning of "Zero Degree" but as many times while using expansion of differential operator using binomial theorem or while using Leibnitz's rule of differentiation, we simply denote derivatives of zero degree for no differentiation, we can say, for understanding, tha the equations without derivatives eg. y =mx can be treated as Differential Equation of Zero Order.
You didn't specify the equation. A minimum or maximum value of a function is often found by calculating the derivative of a function, writing an equation for derivative equal to zero, and then analyzing points where the derivative either doesn't exist, or is equal to zero. You'll find find information about this in introductory calculus books.
The derivative of 40 is zero. The derivative of any constant is zero.
Zero. In general, the derivative of any constant is zero.
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
zero
The highest order of derivative is 2. There will be a second derivative {f''(x) or d2y/dx} in the equation.
You didn't specify the equation. A minimum or maximum value of a function is often found by calculating the derivative of a function, writing an equation for derivative equal to zero, and then analyzing points where the derivative either doesn't exist, or is equal to zero. You'll find find information about this in introductory calculus books.
The order of a differential equation is a highest order of derivative in a differential equation. For example, let us assume a differential expression like this. d2y/dx2 + (dy/dx)3 + 8 = 0 In this differential equation, we are seeing highest derivative (d2y/dx2) and also seeing the highest power i.e 3 but it is power of lower derivative dy/dx. According to the definition of differential equation, we should not consider highest power as order but should consider the highest derivative's power i.e 2 as order of the differential equation. Therefore, the order of the differential equation is second order.
The derivative of 40 is zero. The derivative of any constant is zero.
To optimize a volume means to find either the minimum or maximum value possible. In order to optimize a volume you take the derivative of the volume equation and set it equal to zero.
zero. In this problem, since there is no variable, the derivative is zero.
Zero. In general, the derivative of any constant is zero.
The rate of change of any function is its derivative. The equation of a horizontal line is simply a constant, for example y=10. The derivative of any constant is ZERO.
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
At the point of inflexion:the first derivative must be zero. the second derivative must be zero, if the next derivative is zero then the one following that must also be zero.
In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.
zero