Complex Elementary Functions

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What is the derivatives of hyperbolic sine function defined as?

What is the derivatives of hyperbolic cosine function defined as?

Express the hyperbolic sine function in terms of exponential functions.

What is the principal value of the complex logarithm of z?

• Modulus of z plus i times the argument of z

• Natural logarithm of z

• Natural logarithm of the modulus of z plus i times the argument of z

• Logarithm of the conjugate of z

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