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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function
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$5\frac{d}{dx}\left(x^2\sqrt{16x^4}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of 5x^2(16x^4)^1/2. The derivative of a function multiplied by a constant 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=. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.