Final Answer
Step-by-step Solution
Specify the solving method
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.
$\frac{d}{db}\left(\frac{4}{9}a^{20}b^{10}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (2/3a^10b^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 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=a^{20} and g=b^{10}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.