Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the product rule
- Find the derivative using the definition
- 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
- Integrate by parts
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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\frac{x}{\cos\left(1-x\right)}$ and $g=\ln\left(x^2+2x+1\right)$
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$\frac{d}{dx}\left(\frac{x}{\cos\left(1-x\right)}\right)\ln\left(x^2+2x+1\right)+\frac{d}{dx}\left(\ln\left(x^2+2x+1\right)\right)\frac{x}{\cos\left(1-x\right)}$
Learn how to solve problems step by step online. Find the derivative using the product rule d/dx(x/cos(1-x)ln(x^2+2x+1)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\frac{x}{\cos\left(1-x\right)} and g=\ln\left(x^2+2x+1\right). 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}. Multiplying fractions \frac{x}{\cos\left(1-x\right)} \times \frac{1}{x^2+2x+1}. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.
