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Learn how to solve logarithmic differentiation problems step by step online.
$\frac{d}{dx}\left(5^{2x\left(x+1\right)}\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the derivative using logarithmic differentiation method d/dx(5^x^2^(x+1)). Simplifying. Applying the derivative of the exponential function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=2\left(x+1\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x+1 and g=2.