Final answer to the problem
$\frac{2\mathrm{arcsec}\left(x\right)}{x\sqrt{x^2-1}}$
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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
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
$2\mathrm{arcsec}\left(x\right)^{1}\frac{d}{dx}\left(\mathrm{arcsec}\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online.
$2\mathrm{arcsec}\left(x\right)^{1}\frac{d}{dx}\left(\mathrm{arcsec}\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arcsec(x)^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}. Any expression to the power of 1 is equal to that same expression. Taking the derivative of arcsecant. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{2\mathrm{arcsec}\left(x\right)}{x\sqrt{x^2-1}}$
