Final answer to the problem
$\frac{3}{x\sqrt{36x^{6}-1}}$
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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 differential calculus problems step by step online.
$\frac{1}{6x^3\sqrt{\left(6x^3\right)^2-1}}\frac{d}{dx}\left(6x^3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of arcsec(6x^3). Taking the derivative of arcsecant. The power of a product is equal to the product of it's factors raised to the same power. 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
$\frac{3}{x\sqrt{36x^{6}-1}}$
