Final Answer
Step-by-step Solution
Specify the solving method
Simplify the derivative by applying the properties of logarithms
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\cos\left(x\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (-cos(x))^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 the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x).