Exercise
$\frac{d}{dx}\left(-4\ln\left(2x^2\right)\right)$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the derivative of -4ln(2x^2). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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 derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Find the derivative of -4ln(2x^2)
Final answer to the exercise
$\frac{-8}{x}$