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# How do you find second derivative of a function?

Updated: 4/28/2022

Wiki User

â 13y ago

All it means to take the second derivative is to take the derivative of a function twice.

The first derivative would be 2x+2

But when you take the derivative the first derivative you get the second derivative which would be

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â 13y ago

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Q: How do you find second derivative of a function?
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### 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 geometrical meaning for second derivative?

The Geometrical meaning of the second derivative is the curvature of the function. If the function has zero second derivative it is straight or flat.

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The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.

### If second derivative is 0 and third derivative is 0 What is true about that point?

If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.

### 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.

### 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 maximum in a math problem?

It depends on the function whose maximum you are trying to find. If it is a well behaved function over the domain in question, you could differentiate it and set its derivative equal to 0. Solve the resulting equation for possible stationary points. Evaluate the second derivative at these points and, if that is negative, you have a maximum. If the second derivative is also 0, then you have to go to higher derivatives (if they exist). If the function is not differentiable, you may have a more difficult task at hand.

### f(x)= â x2fâ˛â˛(x)=?

The function given is (f(x) = -x^2). The second derivative of a function, denoted as (fâ'(x)), measures the concavity of the function. For the function (f(x) = -x^2), the first derivative (fâ(x)) is (-2x). Taking the derivative of (fâ(x)) gives us the second derivative (fââ(x)), which is (-2). So, (fâ'(x) = -2). This indicates that the function (f(x) = -x^2) is concave down for all (x), because the second derivative is negative.

### How do you find the slope of a tangent?

Take the derivative of the function.

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you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.

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To integrate a function you find what the function you have is the derivative of. for example the derivative of x^2 is 2x. so the integral of 2x is x^2.