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Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{db}\left(\sqrt{a^{3}}bc^5+\sqrt{ab^7}c^3+\sqrt{a^{9}}b^5c\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative of a^3^1/2bc^5+(ab^7)^1/2c^3a^9^1/2b^5c. Simplifying. 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=\sqrt{a^{3}} and g=b.