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Taking the derivative of hyperbolic sine
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$\frac{d}{dx}\left(\sqrt{x}\right)\mathrm{cosh}\left(\sqrt{x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of sinh(x^1/2). Taking the derivative of hyperbolic sine. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiply the fraction and term.