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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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$\frac{d}{dz}\left(\sqrt{18z^3}\right)+\frac{d}{dz}\left(2z\sqrt{32z}\right)$
Learn how to solve problems step by step online. Find the derivative of (18z^3)^1/2+2z(32z)^1/2. 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=. The power of a product is equal to the product of it's factors raised to the same power.