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Derivatives Advanced Worksheets - Download free PDFs

Derivatives

Advanced

Second Order

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

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

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

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

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

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

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

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

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

10.\:\:(\sin^2(θ))^{''}

Derivatives

Advanced

Higher Order

1.\:\:\frac{d^{3}}{dx^{3}}(\ln(x))

2.\:\:\frac{d^{3}}{dx^{3}}(6x^{3}-4x^{4})

3.\:\:\frac{d^{3}}{dx^{3}}(x^{n})

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

5.\:\:\frac{d^4}{dy^4}(a^y)

6.\:\:\frac{d^{4}}{dx^{4}}(\frac{x-2}{x-3})

7.\:\:\frac{d^{4}}{dx^{4}}\ln(x^{2}+1)

8.\:\:\frac{d^{4}}{dx^{4}}(e^{-x^2})

9.\:\:\frac{d^{5}}{dx^{5}}(\frac{1}{e^{2x}-1})

10.\:\:\frac{d^{5}}{dx^{5}}(\sin^{-1}x)