How do you rewrite the function $$(x^2 - 1)^2$$ for differentiation?

You can rewrite it as $$(x^2 - 1)^{2}$$ to apply the chain rule.

What is the derivative of $$\frac{1}{2}(x^2 - 1)^{-\frac{1}{2}}$$ ?

The derivative is $$-\frac{1}{4}(x^2 - 1)^{-\frac{3}{2}} \times 2x = -\frac{x}{2(x^2 - 1)^{\frac{3}{2}}}$$ .

What is the definition of a limit in calculus?

A limit is the value that a function approaches as the input approaches a certain value.

What is the derivative of $$x^3$$ ?

The derivative of $$x^3$$ is $$3x^2$$ .

What is the power rule in differentiation?

The power rule states that if f(x) = $$x^n$$ , then f'(x) = $$nx^{n-1}$$ .

What is the formula for the surface area of a sphere?

The formula for the surface area of a sphere is $$A = 4\pi r^2$$ , where r is the radius.

What is the definition of continuity at a point?

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.

What is the quotient rule in differentiation?

The quotient rule states that if you have two functions u(x) and v(x), the derivative of their quotient is given by: $$\frac{(u/v)$$ .

What is the integral of $$x^2$$ ?

The integral of $$x^2$$ is $$\frac{x^3}{3} + C$$ , where C is the constant of integration.

What is the definition of an asymptote?

An asymptote is a line that a graph approaches but never touches or crosses.

Warm up (10/24/19) Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the VOLUME of a CONE?

Back

2.

FLASHCARD QUESTION

Front

What is the product rule in differentiation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the chain rule in differentiation?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the area of a circle?

Back

7.

FLASHCARD QUESTION

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Earth's Crusty Forces 11.1 :)

Flashcard

•

11th Grade - University

10 questions

Fire Extinguishers and Fire Classes

Flashcard

•

12th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

10 questions

Evolve 2 Unit - 8 Flashcard - 1

Flashcard

•

University

7 questions

Places

Flashcard

•

KG - University

14 questions

Used To

Flashcard

•

University

16 questions

Hand Rules

Flashcard

•

12th Grade

Popular Resources on Wayground

10 questions

Fire Safety Quiz

Quiz

•

12th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

36 questions

6th Grade Math STAAR Review

Quiz

•

6th Grade

19 questions

Classifying Quadrilaterals

Quiz

•

3rd Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

5 questions

A.F/ST Quizizz Day 1

Quiz

•

9th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems Practice

Quiz

•

9th - 12th Grade

15 questions

Converting Between Exponential And Logarithmic Form

Quiz

•

9th - 12th Grade

14 questions

Intro solving quads by graphing/factoring

Presentation

•

9th - 12th Grade

23 questions

Algebra 1 EOC Review

Quiz

•

9th - 12th Grade

20 questions

Algebra 1 EOC Review

Quiz

•

9th - 12th Grade

16 questions

Parallel, Perpendicular, and Intersecting Lines

Quiz

•

KG - Professional Dev...

11 questions

Key Features Of Quadratic Functions

Quiz

•

9th - 12th Grade