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