Final answer to the problem
$\frac{\sin\left(x\right)\left(1+\sin\left(x\right)\right)^2+2\cos\left(x\right)^2\left(1+\sin\left(x\right)\right)}{\left(1+\sin\left(x\right)\right)^{4}}$
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Step-by-step Solution
How should I solve this problem?
- 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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1
Find the ($1$) derivative
Learn how to solve differential calculus problems step by step online.
$\frac{-\cos\left(x\right)}{\left(1+\sin\left(x\right)\right)^2}$
Learn how to solve differential calculus problems step by step online. Find the higher order (2) derivative of 1/(1+sin(x)). Find the (1) derivative. Find the (2) derivative.
Final answer to the problem
$\frac{\sin\left(x\right)\left(1+\sin\left(x\right)\right)^2+2\cos\left(x\right)^2\left(1+\sin\left(x\right)\right)}{\left(1+\sin\left(x\right)\right)^{4}}$
