Table of Contents

## What is the second derivative called?

We know that if we have a position function and take the derivative of this function we get the rate of change, thus the velocity. Now, if we take the derivative of the velocity function we get the acceleration (the second derivative). Knowing the acceleration is crucially important for various physics applications.

## What is the derivative of the composite function f/g x ))?

chain rule

The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.

**What is the second derivative test used for?**

The second derivative may be used to determine local extrema of a function under certain conditions. If a function has a critical point for which f′(x) = 0 and the second derivative is positive at this point, then f has a local minimum here.

### How do you find the derivative of GX?

In this section we want to find the derivative of a composite function f(g(x)) where f(x) and g(x) are two differentiable functions. d dx f(g(x)) = f/(g(x)) · g/(x). This result is known as the chain rule. Thus, the derivative of f(g(x)) is the derivative of f(x) evaluated at g(x) times the derivative of g(x).

### How to use a second derivative calculator?

The procedure to use the second derivative calculator is as follows: Step 1: Enter the function in the respective input field Step 2: Now click the button “Submit” to get the derivative Step 3: Finally, the second order derivative of a function will be displayed in the output field

**How do you find the derivative of a function?**

Derivative Calculator. Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second…., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing tool.

## What is the second derivative of f(x)?

Example: f (x) = x 3. Its derivative is f’ (x) = 3×2. The derivative of 3x 2 is 6x, so the second derivative of f (x) is: f” (x) = 6x. A derivative can also be shown as dy dx , and the second derivative shown as d2y dx2.

## What is BYJU’s second derivative calculator?

Second Derivative Calculator is a free online tool that displays the second order derivative for the given function. BYJU’S online second derivative calculator tool makes the calculation faster, and it displays the second order derivative in a fraction of seconds. How to Use the Second Derivative Calculator?