Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the quotient rule
- Find the derivative using the definition
- Find the derivative using the product 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
- Load more...
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
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$2\ln\left(\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}\right)^{1}\frac{d}{dx}\left(\ln\left(\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}\right)\right)$
Learn how to solve problems step by step online. Find the derivative using the quotient rule d/dx(ln((1+sin(x))/(1-sin(x)))^2). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. 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}. Divide fractions \frac{1}{\frac{1+\sin\left(x\right)}{1-\sin\left(x\right)}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.
