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Simplify the derivative by applying the properties of logarithms
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$\frac{d}{dx}\left(\left(2x^2\right)^{12}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2x^2)^3^4. Simplify the derivative by applying the properties of logarithms. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 2^{12}. Simplify \left(x^2\right)^{12} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 12.