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Step-by-step Solution
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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{d}{dx}\left(y\right)+4y\right)=\frac{d}{dx}\left(\cos\left(x\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of d/dx(d/dx(y)+4y=cos(x)). 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). The derivative of the linear function is equal to 1.