Exercise
$\frac{d}{dx}\left(\sqrt{\left(x^2-\cot\left(x\right)+2\right)^3}\right)$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (x^2-cot(x)+2)^3^(1/2). Simplify the derivative by applying the properties of logarithms. 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 a function multiplied by a constant is equal to the constant times the derivative of the function.
Find the derivative of (x^2-cot(x)+2)^3^(1/2)
Final answer to the exercise
$\frac{3}{2}\sqrt{x^2-\cot\left(x\right)+2}\left(2x+\csc\left(x\right)^2\right)$