Final answer to the problem
$\frac{2}{x\sqrt{x^{4}-1}}$
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Step-by-step Solution
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Taking the derivative of arcsecant
Learn how to solve inverse trigonometric functions differentiation problems step by step online.
$\frac{1}{x^2\sqrt{\left(x^2\right)^2-1}}\frac{d}{dx}\left(x^2\right)$
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the derivative of arcsec(x^2). Taking the derivative of arcsecant. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 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}. Multiply the fraction by the term .
Final answer to the problem
$\frac{2}{x\sqrt{x^{4}-1}}$
