Final answer to the problem
$\frac{16}{x\sqrt{x^{8}-1}}$
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Step-by-step Solution
Learn how to solve power rule for derivatives problems step by step online. Find the derivative of 4arcsec(x^4). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Taking the derivative of arcsecant. Simplify \left(x^4\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.
Final answer to the problem
$\frac{16}{x\sqrt{x^{8}-1}}$
