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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(x\mathrm{sinh}\left(x\right)\right)+\frac{d}{dx}\left(-\mathrm{cosh}\left(x\right)\right)$
Learn how to solve problems step by step online. d/dx(xsinh(x)-cosh(x)). The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right). Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=x\mathrm{sinh}\left(x\right), a=x, b=\mathrm{sinh}\left(x\right) and d/dx?ab=\frac{d}{dx}\left(x\mathrm{sinh}\left(x\right)\right). Apply the formula: \frac{d}{dx}\left(x\right)=1.