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How do you compute the derivative of the given function g of t equals 2 divided by t and t equals 1 divided by 2?
Wiki User
∙ 13y ago
g(t) = 2/t
The function is the same as writing g(t) = 2 t-1,
and that's not too difficult to differentiate:
g'(t) = -2 t-2
g'(1/2) = -2 (1/2)-2 = -2 (4) = -8
Wiki User
∙ 13y ago
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How do you calculate critical points of derivatives?
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
What is the derivative of 1 divided by x to the third power?
1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.
If derivative of f equals 0 for all x in the domain of f then is f a constant function?
Yes.
Can you use the equation given below to find the second derivative of pi divided by 6 if fx equals cscx?
pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!
Is the function f of x equals one divided by x an example of a rational function?
True
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.
Why was the calculus student confused about y equals ex and the derivative of y equals ex?
Because the derivative of e^x is e^x (the original function back again). This is the only function that has this behavior.
What is the derivative of x2 plus 6 divided by 2?
Following the correct order of operations: derivative of x^2 + 6/2 = derivative of x^2 +3, which equals 2x
How do you calculate critical points of derivatives?
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
What is the derivative of 1 divided by x to the third power?
1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.
If derivative of f equals 0 for all x in the domain of f then is f a constant function?
Yes.
Can you use the equation given below to find the second derivative of pi divided by 6 if fx equals cscx?
pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!
What is the rate of change in the function y equals tan3x?
In this case, you'll need to apply the chain rule, first taking the derivative of the tan function, and multiplying by the derivative of 3x: y = tan(3x) ∴ dy/dx = 3sec2(3x)
Is the function f of x equals one divided by x an example of a rational function?
True
What is the derivative of xi equals i?
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
How do you find the derivative of y equals 7e-6x?
13
What is the inverse function of fx equals 5x-24?
29
