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The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve differential calculus problems step by step online.
$\frac{d}{db}\left(\left(a^2+b\right)^3+25\left(a^2+b^2\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (a^2+b)^3+((a^2+b^2)5)^2. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.