Final answer to the problem
$\sec\left(x\right)\tan\left(x\right)$
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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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Taking the derivative of secant function: $\frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x)$
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$\frac{d}{dx}\left(x\right)\sec\left(x\right)\tan\left(x\right)$
Learn how to solve basic differentiation rules problems step by step online. Find the derivative of sec(x). Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x). The derivative of the linear function is equal to 1. The derivative of the linear function is equal to 1.
Final answer to the problem
$\sec\left(x\right)\tan\left(x\right)$
