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$\frac{d}{da}\left(\left(a^4+6\right)^2\left(a^2+6\right)\left(a^2-6\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^4+6)(a^2+6)(a^4+6)(a^2-6). Simplifying. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g'. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function.