PRMIA Exam 8002 Topic 1 Question 86 Discussion

Actual exam question for PRMIA's 8002 exam

Question #: 86
Topic #: 1

[All 8002 Questions]

The gradient of a smooth function is

Aa vector that shows the direction of fastest change of a function

Bmatrix of second partial derivatives of a function

Cinfinite at a maximum point

Da matrix containing the function's second partial derivatives

Show Suggested Answer

Suggested Answer: A

by Joseph at Aug 03, 2024, 09:07 PM

Limited Time Offer

25%

Off

Get Premium 8002 Questions as Interactive Web-Based Practice Test or PDF

Contribute your Thoughts:

Submit Cancel

Erasmo

2 months ago

I remember learning that the gradient is indeed a vector, so I agree with A)

upvoted 0 times

...

Jolene

2 months ago

I'm not sure, but I think it might be D) a matrix containing the function's second partial derivatives

upvoted 0 times

...

Cecily

2 months ago

I think it's A too, because the gradient points in the direction of steepest ascent

upvoted 0 times

...

Thaddeus

2 months ago

A) a vector that shows the direction of fastest change of a function

upvoted 0 times

...

Lilli

2 months ago

I believe it's A as well, because the gradient gives the direction of maximum increase

upvoted 0 times

...

Malcolm

2 months ago

I'm not sure, but I think it's B) matrix of second partial derivatives of a function

upvoted 0 times

...

Becky

2 months ago

I think it's A too, because the gradient points in the direction of steepest ascent

upvoted 0 times

...

Beula

3 months ago

Gradient? More like 'rad'-ient, am I right? *crickets*

upvoted 0 times

Vivienne

2 months ago

B) matrix of second partial derivatives of a function

upvoted 0 times

...

Brice

2 months ago

A) a vector that shows the direction of fastest change of a function

upvoted 0 times

...

Gaynell

3 months ago

Wait, is the gradient a matrix or a vector? This is starting to sound like a trick question. I'm going with A just to be safe.

upvoted 0 times

...

Louvenia

3 months ago

C is interesting, but I'm not sure the gradient is infinite at a maximum point. I'll have to think about that one.

upvoted 0 times

...

Rupert

3 months ago

I thought the gradient was the matrix of second partial derivatives? Option D sounds right to me.

upvoted 0 times

Charlette

2 months ago

Oh, I see. Thanks for clarifying!

upvoted 0 times

...

Alida

2 months ago

Yes, it's a common misconception. The gradient is a vector, not a matrix.

upvoted 0 times

...

Georgene

2 months ago

Oh, I see. I thought it was a matrix of second partial derivatives too.

upvoted 0 times

...

Reed

2 months ago

No, the gradient is actually a vector that shows the direction of fastest change of a function.

upvoted 0 times

...

Mireya

2 months ago

Option D sounds right to me.

upvoted 0 times

...

Horace

2 months ago

No, the gradient is actually a vector that shows the direction of fastest change of a function.

upvoted 0 times

...

Ryan

2 months ago

Option D sounds right to me.

upvoted 0 times

...

Rasheeda

3 months ago

A) a vector that shows the direction of fastest change of a function

upvoted 0 times

...

Alva

3 months ago

The gradient is definitely a vector that shows the direction of fastest change. A is the way to go here.

upvoted 0 times

Ryan

3 months ago

Yes, the gradient is a vector that indicates the direction of greatest increase. A is the correct choice.

upvoted 0 times

...

Cassandra

3 months ago

The gradient is crucial for determining the direction of steepest ascent. A is the right answer.

upvoted 0 times

...

Candra

3 months ago

I agree, the gradient points in the direction of fastest change. A is correct.

upvoted 0 times

...