Final answer to the problem
$dy=-\sin\left(x\right)$
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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Math interpretation of the question
Learn how to solve implicit differentiation problems step by step online.
$\frac{d}{dx}\left(y=\cos\left(x\right)\right)$
Learn how to solve implicit differentiation problems step by step online. Find the differential dy of y=cos(x). Math interpretation of the question. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the linear function is equal to 1. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x).
Final answer to the problem
$dy=-\sin\left(x\right)$
