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Is there a function where the first derivative goes to infinity for x going to 0 and where the first derivative equals 0 when x is 1?
Wiki User
∙ 11y ago
Yes, the function ln(x) where ln is the logarithm to base e.
Yes, the function ln(x) where ln is the logarithm to base e.
Yes, the function ln(x) where ln is the logarithm to base e.
Yes, the function ln(x) where ln is the logarithm to base e.
Wiki User
∙ 11y ago
Wiki User
∙ 11y agoYes, the function ln(x) where ln is the logarithm to base e.
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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
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 the difference between nonlinear and linear functions?
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.
What is Y double-prime plus y equals 0?
y"+y'=0 is a differential equation and mean the first derivative plus the second derivative =0.Look at e-x the first derivative is -e-xThe second derivative will be e-xThe sum will be 0
What is the Product rule for square roots?
the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.
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 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.
What is the function if the first derivative of a function is a constant?
A linear function, for example y(x) = ax + b has the first derivative a.
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
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
How can you know that a value is the minimum of a function?
When the first derivative of the function is equal to zero and the second derivative is positive.
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 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)
What is the significance of the first derivative of a function to be a constant?
If the first derivative if a function is a constant that the original function has only one slope across its entire domain, so it is a line.
What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.
How do you find the derivative of y equals 7e-6x?
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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).
