Final answer to the problem
$-4\mathrm{sech}\left(4x\right)\mathrm{tanh}\left(4x\right)$
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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 hyperbolic secant
Learn how to solve differential calculus problems step by step online.
$-\frac{d}{dx}\left(4x\right)\mathrm{sech}\left(4x\right)\mathrm{tanh}\left(4x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of sech(4x). Taking the derivative of hyperbolic secant. The derivative of a function multiplied by a constant (4) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.
Final answer to the problem
$-4\mathrm{sech}\left(4x\right)\mathrm{tanh}\left(4x\right)$
