That sounds a lot like a critical point to me.
The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)
function is the relationship between independent variable & dependent variable i.e. F:R-R
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.
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.
zero. In this problem, since there is no variable, the derivative is zero.
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.
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.
The derivative of any constant - any expression that does not involve the independent variable - is zero.
No.
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.
With the dependent variable because it depends on the independent one.
No, because a function can also be defined between two interdependent variables so that there is no independent variable.
The derivative of cosine of x is simply the negative sine of x. In mathematical terms f'(x) = d/dx[cos(x)] = -sin(x)
function is the relationship between independent variable & dependent variable i.e. F:R-R
You take the derivative using only one variable. The other variables act as constants.
Set the first derivative of the function equal to zero, and solve for the variable.
Linear function:No variable appears in the function to any power other than 1.A periodic input produces no new frequencies in the output.The function's first derivative is a number; second derivative is zero.The graph of the function is a straight line.Non-linear function:A variable appears in the function to a power other than 1.A periodic function at the input produces new frequencies in the output.The function's first derivative is a function; second derivative is not zero.The graph of the function is not a straight line.