Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplifying
Learn how to solve problems step by step online.
$\frac{d}{dx}\left(\frac{1}{4\sqrt[4]{\left(1+x\right)^{3}}}\right)$
Learn how to solve problems step by step online. Find the derivative of d/dx(1/4/((1+x)^3^1/4)). Simplifying. 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}}. The power of a product is equal to the product of it's factors raised to the same power. The derivative of the constant function (1) is equal to zero.