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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$
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$\frac{d}{da}\left(a^2\right)\left(x+1\right)\left(x-1\right)+a^2\left(\frac{d}{da}\left(x+1\right)\left(x-1\right)+\left(x+1\right)\frac{d}{da}\left(x-1\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of a^2(x+1)(x-1). 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. The derivative of a sum of two or more functions is the sum of the derivatives of each function.