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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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How do you find the directional derivative of any function?
You take the derivative using only one variable. The other variables act as constants.
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
What quantity or expression has a derivative equal to 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.
What is the derivative of square root of 3?
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
What is the derivative of pi divided by 2?
"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.
What is the derivative of -2sin x?
The derivative of sin(x) is cos(x). Coefficients act like constants and always remain in derivatives. So, the derivative is -2cos(x).
What is 3.875 as a derivative?
The derivative of all constants is 0.
Find the derivative y equals sq rt 7 plus 99 plus pie?
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
What function always has a derivative of 0?
f(x) = c, where c is constant, has a derivative of zero.
What is the derivative for x to the power of 0?
x^0 = 1 for all x. The derivative of 1 is always zero.
What is the derevative of 3x2?
The derivative of 3 x 2 , that is 6, is zero. The derivative of a constant number is always 0.
What is the derivative of 40?
The derivative of 40 is zero. The derivative of any constant is zero.
Find the derivative of 2x2?
2 x 2 = 4. 4 is a constant. The derivative of a constant is always 0. Therefore, The derivative of 2 x 2 is zero.
What is the derivative of 4pi?
zero. In this problem, since there is no variable, the derivative is zero.
What is the derivative of 8?
Zero. In general, the derivative of any constant is zero.
Is it always true that between any two zeros of any polynomial there is a zero of the derivative?
Yes.
What is the double prime of 5x?
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.
