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

en

English

Upgrade

Derivative Applications Critical & Extreme Points Worksheets - Download free PDFs

Derivative Applications

Critical & Extreme Points

Critical Points

1.\:\:critical\:points\:4x^{2}-x-3

2.\:\:critical\:points\:x^{3}-x^{2}-x+1

3.\:\:critical\:points\:-3x^{2}

4.\:\:critical\:points\:x^{2}-36x-20

5.\:\:critical\:points\:x^{4}

6.\:\:critical\:points\:x^{3}-3x+2

7.\:\:critical\:points\:\sqrt{x-4}

8.\:\:critical\:points\:\sqrt[3]{x}

9.\:\:critical\:points\:\sqrt{x^{2}+1}

10.\:\:critical\:points\:\sqrt{x}+3

Derivative Applications

Critical & Extreme Points

Monotone Intervals

1.\:\:monotone\:intervals\:4x^{2}-x-3

2.\:\:monotone\:intervals\:x^{3}-x^{2}-x+1

3.\:\:monotone\:intervals\:-3x^{2}

4.\:\:monotone\:intervals\:x^{2}-36x-20

5.\:\:monotone\:intervals\:x^{4}

6.\:\:monotone\:intervals\:x^{3}-3x+2

7.\:\:monotone\:intervals\:\sqrt[3]{x}

8.\:\:monotone\:intervals\:\sqrt{x-4}

9.\:\:monotone\:intervals\:\sqrt{x^{2}+1}

10.\:\:monotone\:intervals\:\sqrt{x}+3

Derivative Applications

Critical & Extreme Points

Extreme: First Derivative Test

1.\:\:first\:derivative\:test\:4-x^{2}

2.\:\:first\:derivative\:test\:x^{2}-2x-3

3.\:\:first\:derivative\:test\:x^{3}-3x+1

4.\:\:first\:derivative\:test\:x^{2}-6x+8

5.\:\:first\:derivative\:test\:x^{3}-3x

6.\:\:first\:derivative\:test\:(x+5)^{2}

7.\:\:first\:derivative\:test\:\frac{1}{x^{2}}+\frac{1}{x}

8.\:\:first\:derivative\:test\:\frac{2x^{2}+6}{x}

9.\:\:first\:derivative\:test\:\frac{1}{9+x^{2}}

10.\:\:first\:derivative\:test\:\frac{3}{x^{3}-1}

Derivative Applications

Critical & Extreme Points

Extreme: Second Derivative Test

1.\:\:second\:derivative\:test\:4-x^{2}

2.\:\:second\:derivative\:test\:x^{2}-2x-3

3.\:\:second\:derivative\:test\:x^{3}-3x+1

4.\:\:second\:derivative\:test\:x^{2}-6x+8

5.\:\:second\:derivative\:test\:x^{3}-3x

6.\:\:second\:derivative\:test\:(x+5)^{2}

7.\:\:second\:derivative\:test\:\frac{1}{x^{2}}+\frac{1}{x}

8.\:\:second\:derivative\:test\:\frac{2x^{2}+6}{x}

9.\:\:second\:derivative\:test\:\frac{1}{9+x^{2}}

10.\:\:second\:derivative\:test\:\frac{3}{x^{3}-1}

Derivative Applications

Critical & Extreme Points

Global Extreme Points

1.\:\:global\:extreme\:points\:4-x^{2}

2.\:\:global\:extreme\:points\:x^{2}-2x-3

3.\:\:global\:extreme\:points\:x^{3}-3x+1

4.\:\:global\:extreme\:points\:x^{2}-6x+8

5.\:\:global\:extreme\:points\:x^{3}-3x

6.\:\:global\:extreme\:points\:(x+5)^{2}

7.\:\:global\:extreme\:points\:\frac{1}{x^{2}}+\frac{1}{x}

8.\:\:global\:extreme\:points\:\frac{2x^{2}+6}{x}

9.\:\:global\:extreme\:points\:\frac{1}{9+x^{2}}

10.\:\:global\:extreme\:points\:\frac{3}{x^{3}-1}

Derivative Applications

Critical & Extreme Points

Inflection Points

1.\:\:inflection\:points\:4-x^{2}

2.\:\:inflection\:points\:x^{2}-2x-3

3.\:\:inflection\:points\:x^{3}-3x+1

4.\:\:inflection\:points\:x^{3}-3x

5.\:\:inflection\:points\:4x^{3}-1

6.\:\:inflection\:points\:x^{4}-x^{3}

7.\:\:inflection\:points\:3x^{4}-2x^{2}

8.\:\:inflection\:points\:x^{5}

9.\:\:inflection\:points\:x^{5}-2x

10.\:\:inflection\:points\:\frac{1}{x^{2}}+\frac{1}{x}