Exercise
$\frac{d}{dx}\left(xy-cos\left(xy\right)\right)=\frac{d}{dx}\left(8\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the implicit derivative d/dx(xy-cos(xy))=d/dx(8). The derivative of the constant function (8) is equal to zero. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=y.
Find the implicit derivative d/dx(xy-cos(xy))=d/dx(8)
Final answer to the exercise
$y^{\prime}=\frac{-y}{x}$