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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Taking the derivative of arcsecant
Learn how to solve differential calculus problems step by step online.
$\frac{1}{\frac{1}{x}\sqrt{\left(\frac{1}{x}\right)^2-1}}\frac{d}{dx}\left(\frac{1}{x}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arcsec(1/x). Taking the derivative of arcsecant. Multiply the fraction by the term . Divide fractions \frac{1}{\frac{\sqrt{\left(\frac{1}{x}\right)^2-1}}{x}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.
