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$\frac{d}{da}\left(a^2g^2y^{13}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of gay^6gay^7. Simplifying. 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=a^2 and g=g^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.