- #1

- 118

- 0

## Homework Statement

Find the d/dx

(x^2+2x+5)^2

## Homework Equations

Chain rule

## The Attempt at a Solution

My answer:

2(x^2+2x+5)*(2x+2)*2

- Thread starter Torshi
- Start date

- #1

- 118

- 0

Find the d/dx

(x^2+2x+5)^2

Chain rule

My answer:

2(x^2+2x+5)*(2x+2)*2

- #2

- 133

- 1

Why did you apply the chain rule again to (2x+2)? You only need to do it once.

It should be:

##2(x^2 + 2x + 5)(2x + 2)##

Think of it this way: ##f(x) = x^2## and ##g(x) = x^2 + 2x + 5##.

Then, ##D(f \circ g)(x) = Df(g(x))D(g(x))##

It should be:

##2(x^2 + 2x + 5)(2x + 2)##

Think of it this way: ##f(x) = x^2## and ##g(x) = x^2 + 2x + 5##.

Then, ##D(f \circ g)(x) = Df(g(x))D(g(x))##

Last edited:

- #3

- 559

- 8

You could also just multiply it out and use the power rule.

- #4

Mark44

Mentor

- 34,158

- 5,777

- #5

- 118

- 0

I didn't mean it to be misleading. My fault. The reason why I said that was because I was at my university math lab and even one of the math instructors said it was correct, but made a tad mistake until I mentioned it. I figured out the answer though.

- Last Post

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 7

- Views
- 1K

- Last Post

- Replies
- 6

- Views
- 1K

- Last Post

- Replies
- 0

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 884

- Replies
- 6

- Views
- 1K

- Last Post

- Replies
- 3

- Views
- 823

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 907

- Last Post

- Replies
- 6

- Views
- 1K