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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(5^{2x\left(x+1\right)}\right)$
Learn how to solve problems step by step online. Find the derivative using logarithmic differentiation method d/dx(5^x^2^(x+1)). Simplify the derivative by applying the properties of logarithms. Applying the derivative of the exponential function. The derivative of a function multiplied by a constant (2) 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=x and g=x+1.