Learn how to solve problems step by step online. Find the derivative of sec(x/4)^3. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x). When multiplying exponents with same base you can add the exponents: 3\frac{d}{dx}\left(\frac{x}{4}\right)\sec\left(\frac{x}{4}\right)^{2}\sec\left(\frac{x}{4}\right)\tan\left(\frac{x}{4}\right). The derivative of a function multiplied by a constant (\frac{1}{4}) is equal to the constant times the derivative of the function.

Find the derivative of sec(x/4)^3