We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

en

English

Upgrade

Good job!

Practice More

Type your Answer

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Log Quotient Rule Calculator >

도메인 sin(2pi)dx

Topic

Full pad

`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

simplify solve for expand factor rationalize

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

극한점 3x²y+y³−3x²−3y²+2

Solution

극히 적은 양(0, 2), 최대(0, 0), 안장(1, 1), 안장(−1, 1)

Show Steps

Hide Steps

Solution steps

One step at a time

2차 부분 미분 검정 정의

그렇다고 가정하자 (x, y)=(a, b) 의 중요한 점입니다 f(x, y)
그리고 D(x, y)=∂²f∂ x² ∂²f∂ y² −(∂²f∂ x∂ y )². 그렇다면,
이면 D(a, b) > 0 그리고 ∂²f∂ x² <0 그렇다면 요점은 (a, b) 로컬 최대값입니다.
이면 D(a, b) > 0 그리고 ∂²f∂ x² >0 그렇다면 요점은 (a, b)
이면 D(a, b)<0 그렇다면 요점은 (a, b) 안장 포인트입니다.
이면 D(a, b)=0 그 다음 테스트가 실패하고 포인트가 (a, b) 로컬 최대값, 로컬 최소값, 안장 또는 둘 다 될 수 있습니다.

중요한 점 찾기: (0, 2), (0, 0), (1, 1), (−1, 1)

∂²f∂ x² =6y−6

D(x, y)=(6y−6)²−36x²

의 부호를 확인합니다 각각의 임계점에

(0, 2) 임계점 확인: 극히 적은 양

(0, 0) 임계점 확인: 최대

(1, 1) 임계점 확인: 안장

(−1, 1) 임계점 확인: 안장

극히 적은 양(0, 2), 최대(0, 0), 안장(1, 1), 안장(−1, 1)

Solve instead

임계점 3x²y+y³−3x²−3y²+2

Log Quotient Rule Examples

Related Symbolab blog posts

High School Math Solutions – Inequalities Calculator, Exponential Inequalities

Last post, we talked about how to solve logarithmic inequalities. This post, we will learn how to solve exponential...

Popular topics

median calculator dot product calculator arc length calculator maclaurin series calculator z score calculator critical point calculator inequalities calculator range calculator determinant calculator second derivative calculator lcm calculator partial derivative calculator complete the square calculator distributive property calculator mixed fractions calculator Time Calculator gradient calculator triple integrals calculator partial fractions calculator indefinite integral calculator solve for x calculator double integral solver vector calculator Date Calculator vertex calculator binomial expansion calculator decimal to fraction calculator difference quotient calculator eigenvalue calculator piecewise functions calculator radius of convergence calculator roots calculator exponential function calculator interval of convergence calculator fractions divide calculator inflection point calculator expand calculator variance calculator fractions multiply calculator fourier series calculator foil calculator modulo calculator series convergence calculator linear algebra calculator

Chat with Symbo

안녕, 질문하다 inverse cos³(t) 또는 아래 옵션 중에서 선택하세요

함수의 역함수를 구하는 방법을 설명하세요

나는 다른 것을 해결하고 싶습니다

Cooking Calculators

Cooking Measurement Converter Cooking Ingredient Converter Cake Pan Converter More calculators

Fitness Calculators

BMI Calculator Calorie Calculator BMR Calculator More calculators

Notebook

View Full Notebook