Final answer to the problem
$-4\sin\left(y\right)\sin\left(x\right)$
Got another answer? Verify it here!
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
- Load more...
Can't find a method? Tell us so we can add it.
1
The derivative of a function multiplied by a constant ($\sin\left(y\right)$) is equal to the constant times the derivative of the function
$4\sin\left(y\right)\frac{d}{dx}\left(\cos\left(x\right)\right)$
2
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 $f'(x) = -\sin(x)\cdot D_x(x)$
$-4\sin\left(y\right)\sin\left(x\right)$
Final answer to the problem
$-4\sin\left(y\right)\sin\left(x\right)$
