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Advanced Second Order Worksheets - Download free PDFs

Derivatives

Advanced

Second Order

1. \frac{d^2}{dx^2}(3+x^3-5x^2-8x)

1. \frac{d^2}{dx^2}(3+x^3-5x^2-8x)

2. \frac{d^{2}}{dx^{2}}\sqrt{10-x^{2}}x

2. \frac{d^{2}}{dx^{2}}\sqrt{10-x^{2}}x

3. \frac{d^{2}}{dx^{2}}e^{x}x

3. \frac{d^{2}}{dx^{2}}e^{x}x

4. (\sqrt{4+x})^{\prime \prime }

4. (\sqrt{4+x})^{\prime \prime }

5. \frac{d^{2}}{dx^{2}}\frac{x^{2}}{-2+x}

5. \frac{d^{2}}{dx^{2}}\frac{x^{2}}{-2+x}

6. \frac{d^2}{dx^2}\frac{\ln (x)}{10x}

6. \frac{d^2}{dx^2}\frac{\ln (x)}{10x}

7. \frac{d^2}{dx^2}(\frac{-1+x^2}{x})

7. \frac{d^2}{dx^2}(\frac{-1+x^2}{x})

8. \frac{d^2}{dx^2}\cos (\frac{ax}{\pi })

8. \frac{d^2}{dx^2}\cos (\frac{ax}{\pi })

9. \frac{d^2}{dx^2}(\frac{9+3x}{2-x})

9. \frac{d^2}{dx^2}(\frac{9+3x}{2-x})

10. (\sin^2(θ))^{''}

10. (\sin^2(θ))^{''}

Answers

Derivatives

Advanced

Second Order

1. 6x-10

2. \frac{2x^{3}-30x}{(10-x^{2})\sqrt{10-x^{2}}}

3. e^{x}x+2e^{x}

4. -\frac{1}{4(4+x)^{\frac{3}{2}}}

5. \frac{8}{(-2+x)^{3}}

6. -\frac{-2\ln(x)+3}{10x^{3}}

7. -\frac{2}{x^{3}}

8. -\frac{a^{2}\cos(\frac{ax}{π})}{π^{2}}

9. \frac{30}{(2-x)^{3}}

10. \cos(2θ)\cdot 2