Partial Derivatives

Partial Derivatives

Assessment

Flashcard

Mathematics

University

Hard

Created by

Wayground Content

Used 1+ times

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a partial derivative?

Back

A partial derivative is the derivative of a function with respect to one variable while keeping the other variables constant.

2.

FLASHCARD QUESTION

Front

How do you denote the partial derivative of a function f with respect to x?

Back

The partial derivative of a function f with respect to x is denoted as f_x or ∂f/∂x.

3.

FLASHCARD QUESTION

Front

What is the formula for finding the partial derivative of a function f(x, y) = ax^n + by^m with respect to x?

Back

The partial derivative with respect to x is f_x = n * ax^(n-1).

4.

FLASHCARD QUESTION

Front

What is the formula for finding the partial derivative of a function f(x, y) = ax^n + by^m with respect to y?

Back

The partial derivative with respect to y is f_y = m * by^(m-1).

5.

FLASHCARD QUESTION

Front

Given f(x, y) = 5x^2 - 3xy + y^2, what is f_y?

Back

f_y = -3x + 2y.

6.

FLASHCARD QUESTION

Front

Given f(x, y) = x^2 + 3y, what is f_x?

Back

f_x = 2x.

7.

FLASHCARD QUESTION

Front

Given f(x, y) = x^2y + y^2x, what is f_y?

Back

f_y = x^2 + 2xy.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?