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What is the limit of x divided by e to the x as x approaches infinity?
Limit as x tends to ∞: x/e^xAs you can see, as x approaches infinity, the sum becomes ∞/∞. Now we use l'Hospitals rules.d/dx(x) = 1 (Derivative)d/dx(e^x) = e^x (Derivative)therefore, the sum can be written as lim x tends to ∞ 1/e^xNow as x approaches infinity, the sum = 1/∞ = 0Therefore, lim x tends to infinity: x/e^x = 0
Is infinity divided by infinity equal to infinity?
First off, infinity is not a number in conventional mathematics. In Calculus, you can work with infinity through the language of limits. It is important to note that when we use the shorthand: ∞/∞ What we are REALLY saying is "the limit of a function which diverges to infinity divided by the limit of a function which diverges to infinity". We are not actually saying "infinity divided by infinity". Now that THAT is out of the way, we can get to the answer. ∞/∞ is of indeterminate form, meaning that the division could converge to 0, it could converge to 1, it could converge to an arbitrary constant, or it could diverge to infinity. In order to figure out which of these cases is true, you need to apply L'Hospital's rule, by taking the derivative of the numerator and the denominator (separately).
What is infinity plus infinity?
infinity
How do you find second derivative of a function?
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
What is negative infinity plus negative infinity?
Negative infinity plus negative infinity equals negative infinity.
What is the limit of x divided by e to the x as x approaches infinity?
Limit as x tends to ∞: x/e^xAs you can see, as x approaches infinity, the sum becomes ∞/∞. Now we use l'Hospitals rules.d/dx(x) = 1 (Derivative)d/dx(e^x) = e^x (Derivative)therefore, the sum can be written as lim x tends to ∞ 1/e^xNow as x approaches infinity, the sum = 1/∞ = 0Therefore, lim x tends to infinity: x/e^x = 0
How do you find the local min and max of f of x equals 2x using derivatives any help is appreciated?
The min and max is when the first derivative , or slope at any point, is zero. For f of x = 2x first derivative is 2, so this is constant slope with no min or max as this is not zero; min is thus negative infinity and max is infinity
Is infinity divided by infinity equal to infinity?
First off, infinity is not a number in conventional mathematics. In Calculus, you can work with infinity through the language of limits. It is important to note that when we use the shorthand: ∞/∞ What we are REALLY saying is "the limit of a function which diverges to infinity divided by the limit of a function which diverges to infinity". We are not actually saying "infinity divided by infinity". Now that THAT is out of the way, we can get to the answer. ∞/∞ is of indeterminate form, meaning that the division could converge to 0, it could converge to 1, it could converge to an arbitrary constant, or it could diverge to infinity. In order to figure out which of these cases is true, you need to apply L'Hospital's rule, by taking the derivative of the numerator and the denominator (separately).
Is it derivative of or derivative from?
"Derivative of"
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
How is motion and position related?
Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.Velocity is the derivative of position.
Prove that a constant vector always has a perpendicular derivative?
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
What is the derivative of e7x?
The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)
How do you take the derivative of a trig function?
Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x
What is infinity plus infinity?
infinity
What is the derivative of xe?
The derivative of xe is e. The derivative of xe is exe-1.
What is the derivative of 40?
The derivative of 40 is zero. The derivative of any constant is zero.
