Final Answer
Step-by-step Solution
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=5a^3-6b^2$ and $g=5a^3+6b^2$
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$\frac{d}{db}\left(5a^3-6b^2\right)\left(5a^3+6b^2\right)+\left(5a^3-6b^2\right)\frac{d}{db}\left(5a^3+6b^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (5a^3-6b^2)(5a^3+6b^2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=5a^3-6b^2 and g=5a^3+6b^2. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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.