Final answer to the problem
$\frac{\sqrt{1+x^2}-x}{\sqrt{1+x^2}\left(1+\left(x-\sqrt{1+x^2}\right)^2\right)}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- 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
- Load more...
Can't find a method? Tell us so we can add it.
1
Taking the derivative of arctangent
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{1}{1+\left(x-\sqrt{1+x^2}\right)^2}\frac{d}{dx}\left(x-\sqrt{1+x^2}\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of arctan(x-(1+x^2)^(1/2)). Taking the derivative of arctangent. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the 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}.
Final answer to the problem
$\frac{\sqrt{1+x^2}-x}{\sqrt{1+x^2}\left(1+\left(x-\sqrt{1+x^2}\right)^2\right)}$
