Final Answer
Step-by-step Solution
Specify the solving method
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Learn how to solve problems step by step online.
$3\left(a+\frac{b}{x^2}\right)^{2}\frac{d}{dx}\left(a+\frac{b}{x^2}\right)$
Learn how to solve problems step by step online. Find the derivative of y=(a+b/(x^2))^3. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (a) is equal to zero. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.