Final answer to the problem
$\frac{-1}{1+\left(5x^7-x\right)^2}\left(35x^{6}-1\right)$
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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 arcotangent
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$\frac{-1}{1+\left(5x^7-x\right)^2}\frac{d}{dx}\left(5x^7-x\right)$
Learn how to solve problems step by step online. Find the derivative of arccot(5x^7-x). Taking the derivative of arcotangent. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{-1}{1+\left(5x^7-x\right)^2}\left(35x^{6}-1\right)$
