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 product rule of differentiation problems step by step online.
$-\frac{1}{3}\left(4x^4-1\right)^{-\frac{4}{3}}\frac{d}{dx}\left(4x^4-1\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx((4x^4-1)^(-1/3)). 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4 and g=x^4. The derivative of the constant function (4) is equal to zero.