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$\frac{d}{da}\left(15a\left(a+1\right)^3-5a\left(a+1\right)^{12}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 15a(a+1)^3-5a(a+1)^2^3^2. 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'.