Final answer to the problem
Step-by-step Solution
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- Choose an option
- 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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The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(\ln\left(x\right)\tan\left(\frac{x}{2}\right)\right)+\frac{d}{dx}\left(-\cot\left(x\right)\ln\left(1+\sin\left(x\right)-x\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(ln(x)tan(x/2)-cot(x)ln(1+sin(x)-x)) using the sum rule. 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. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\ln\left(x\right) and g=\tan\left(\frac{x}{2}\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\cot\left(x\right) and g=\ln\left(1+\sin\left(x\right)-x\right).
