Differentiating hyperbolic functions

Differentiating hyperbolic functions Quiz

Spec 3.1 · Edexcel International A Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. Find ddxcosh⁡5x\frac{d}{dx}\cosh5x.

    • A. sinh⁡5x\sinh5x
    • B. −5sinh⁡5x-5\sinh5x
    • C. 5sinh⁡5x5\sinh5x
    • D. 5cosh⁡5x5\cosh5x

  2. 2. Find ddxsinh⁡2x\frac{d}{dx}\sinh^2x.

    • A. 2sinh⁡xcosh⁡x2\sinh x\cosh x
    • B. 2cosh⁡x2\cosh x
    • C. cosh⁡2x\cosh^2x
    • D. 2sinh⁡x2\sinh x

  3. 3. Find ddx(xcosh⁡x)\frac{d}{dx}\left(x\cosh x\right).

    • A. sinh⁡x\sinh x
    • B. cosh⁡x+xsinh⁡x\cosh x+x\sinh x
    • C. cosh⁡x−xsinh⁡x\cosh x-x\sinh x
    • D. xsinh⁡xx\sinh x

  4. 4. Find the gradient of y=tanh⁡2xy=\tanh2x at x=0x=0.

    • A. 00
    • B. 11
    • C. 44
    • D. 22

  5. 5. Find ddx(sinh⁡xx)\frac{d}{dx}\left(\frac{\sinh x}{x}\right).

    • A. cosh⁡x\cosh x
    • B. cosh⁡x+sinh⁡xx2\frac{\cosh x+\sinh x}{x^2}
    • C. xcosh⁡x−sinh⁡xx2\frac{x\cosh x-\sinh x}{x^2}
    • D. sinh⁡x−xcosh⁡xx2\frac{\sinh x-x\cosh x}{x^2}

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