Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\sqrt{x^2-1}$ and $g=\mathrm{arcsec}\left(x\right)$
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\sqrt{x^2-1}\right)\mathrm{arcsec}\left(x\right)+\sqrt{x^2-1}\frac{d}{dx}\left(\mathrm{arcsec}\left(x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (x^2-1)^(1/2)arcsec(x). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sqrt{x^2-1} and g=\mathrm{arcsec}\left(x\right). 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 power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.