Final answer to the problem
Step-by-step Solution
Specify the solving method
The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
Learn how to solve definition of derivative problems step by step online.
$\frac{1}{\sqrt{4x^4+5}}\frac{d}{dx}\left(\sqrt{4x^4+5}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative using the product rule d/dx(ln((4x^4+5)^1/2)). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. 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=.