# Differentiation Help: Find 2nd Derivative

• MHB
• Lhh
In summary, differentiation is a mathematical process used to find the rate of change or slope of a function at a specific point, as well as the instantaneous rate of change at a given point on a curve. The 2nd derivative of a function can be found by taking the derivative of the first derivative, and it is important because it gives us information about the curvature of a function and helps us to analyze its behavior and make predictions. The most common methods for finding the 2nd derivative are the power rule, product rule, quotient rule, and chain rule, but it can also be found using tables, graphs, or technology. The 2nd derivative is related to the 1st derivative as it represents the rate of change of the
Lhh
I can't seem to find the second derivative

#### Attachments

• Screenshot 2020-09-30 at 12.14.28.png
33.9 KB · Views: 81
$L(\lambda) = \lambda^{150}e^{-3\lambda}$

$L’(\lambda) = 150 \lambda^{149} e^{-3\lambda} - 3\lambda^{150} e^{-3\lambda}$

$L’(\lambda) = 3\lambda^{149}e^{-3\lambda} (50-\lambda)$

note ...

if $L’ = uvw$, where $u,v, \text{ and } w$ are all functions of $\lambda$, then ...

$L’’ = u’vw + uv’w + uvw’$

give it a go ...

## What is the second derivative?

The second derivative of a function is the derivative of the first derivative. It represents the rate of change of the slope of the function.

## Why is the second derivative important?

The second derivative helps us analyze the concavity of a function and identify points of inflection. It also allows us to find the maximum and minimum points of a function.

## How do you find the second derivative?

To find the second derivative, you first take the derivative of the function to get the first derivative. Then, you take the derivative of the first derivative to get the second derivative.

## What is the notation for the second derivative?

The second derivative is denoted as f''(x) or d²y/dx².

## What is the relationship between the second derivative and the graph of a function?

The second derivative tells us about the curvature of the graph of a function. A positive second derivative indicates a concave up graph, while a negative second derivative indicates a concave down graph. A zero second derivative indicates a point of inflection on the graph.

Replies
49
Views
3K
Replies
2
Views
1K
Replies
16
Views
2K
Replies
20
Views
2K
Replies
8
Views
2K
Replies
2
Views
1K
Replies
2
Views
2K
Replies
1
Views
3K
Replies
8
Views
1K
Replies
11
Views
2K