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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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\mathrm{sech}\left(-4x\right)$ and $g=1-\ln\left(\mathrm{sech}\left(-4x\right)\right)$
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$\frac{d}{dx}\left(\mathrm{sech}\left(-4x\right)\right)\left(1-\ln\left(\mathrm{sech}\left(-4x\right)\right)\right)+\frac{d}{dx}\left(1-\ln\left(\mathrm{sech}\left(-4x\right)\right)\right)\mathrm{sech}\left(-4x\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of sech(-4x)(1-ln(sech(-4x))). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\mathrm{sech}\left(-4x\right) and g=1-\ln\left(\mathrm{sech}\left(-4x\right)\right). 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 derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.