Final answer to the problem
$\frac{6x}{\left(3x^2+1\right)\sqrt{\left(3x^2+1\right)^2-1}}$
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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
Taking the derivative of arcsecant
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{1}{\left(3x^2+1\right)\sqrt{\left(3x^2+1\right)^2-1}}\frac{d}{dx}\left(3x^2+1\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of arcsec(3x^2+1). Taking the derivative of arcsecant. 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
$\frac{6x}{\left(3x^2+1\right)\sqrt{\left(3x^2+1\right)^2-1}}$
