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How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?
Afyoung1648
The derivative of cosine of x is simply the negative sine of x. In mathematical terms
f'(x) = d/dx[cos(x)] = -sin(x)
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∙ 16y ago
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What is the name for values of an independent variable for a function that make its derivative equal to 0 or not defined but are not within the domain of the original function?
That sounds a lot like a critical point to me.
What is the function definition?
function is the relationship between independent variable & dependent variable i.e. F:R-R
What is the derivative of x divided by y?
You have to specify more information than that. If y is an independent variable and you're talking about the derivative with respect to x, it would be 1/y.
How do you identify the range of a function?
The range of a function is the interval (or intervals) over which the independent variable is valid, i.e. results in a valid value of the function.
What is the derivative of 4pi?
zero. In this problem, since there is no variable, the derivative is zero.
What is the difference between differential and derivative in the field of calculus?
The derivative refers to the rate at which a function changes with respect to another measure. The differential refers to the actual change in a function across a parameter. The differential of a function is equal to its derivative multiplied by the differential of the independent variable . The derivative of a function is the the LIMIT of the ratio of the increment of a function to the increment of the independent variable as the latter tends to zero.
Differentiate the dependent from independent variable?
Say y = x2 y is the dependent variable, x is the independent variable.
What is the name for values of an independent variable for a function that make its derivative equal to 0 or not defined but are not within the domain of the original function?
That sounds a lot like a critical point to me.
What is the difference between the differentiation of the function and the partial differentiation of the function?
You can differentiate a function when it only contains one changing variable, like f(x) = x2. It's derivative is f'(x) = 2x. If a function contains more than one variable, like f(x,y) = x2 + y2, you can't just "find the derivative" generically because that doesn't specify what variable to take the derivative with respect to. Instead, you might "take the derivative with respect to x (treating y as a constant)" and get fx(x,y) = 2x or "take the derivative with respect to y (treating x as a constant)" and get fy(x,y) = 2y. This is a partial derivative--when you take the derivative of a function with many variable with respect to one of the variables while treating the rest as constants.
Differentiate of dependent and independent variable?
The dependent variable depends on the independent variable for its values as for example in the straight line equation: y = 2x+1 It is y that is the dependent variable and x the independent variable.
What is the derivative of 8x2?
The derivative of a function tells you how it changes in response to a change in a specific variable. The derivative of a linear function (like y = 2x + 3) with respect to its independent variable is the slope of the line (in this case, two): how much the line rises or falls when "x" changes by one. The expression 8x2 does not involve any variables, and thus never changes. Its derivative is therefore zero. There is no variable involved, so the result is always 16. Changing the input variable (of which is there is none) has zero effect on the answer.
Differentiate independent variables from dependent variables?
In a controlled experiment, the Independent variable refers to the variable that is manipulated or altered. The dependent variable, meanwhile, is the result of the experiment.
What is the derivative of 4 square root 2?
The derivative of any constant - any expression that does not involve the independent variable - is zero.
Do the dependent variable act as the input of a function and the independent variable act as the output of the function?
No.
What is the derivative of just a constant?
0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.
Where will the independent variable be in a rational function?
With the dependent variable because it depends on the independent one.
Is the set of the independent variable of the function a domain?
No, because a function can also be defined between two interdependent variables so that there is no independent variable.
