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$\frac{d}{dx}\left(8\left(x^4+2\right)\left(x^5+4\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^4+2)2(x^5+4)*4. Simplifying. 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=x^4+2 and g=x^5+4. The derivative of a sum of two or more functions is the sum of the derivatives of each function.