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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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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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$\frac{d}{dx}\left(x\mathrm{sinh}\left(\frac{x}{8}\right)^{-1}\right)+\frac{d}{dx}\left(-\sqrt{64+x^2}\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(xsinh(x/8)^(-1)-(64+x^2)^(1/2)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\mathrm{sinh}\left(\frac{x}{8}\right)^{-1}. The derivative of the linear function is equal to 1.
