What is the derivative of y+xcos(y) ?

The derivative of y+xcos(y) is (dy)/(dx)+cos(y)-xsin(y)(dy)/(dx)

What is the first derivative of y+xcos(y) ?

The first derivative of y+xcos(y) is (dy)/(dx)+cos(y)-xsin(y)(dy)/(dx)

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\frac{d}{d x} (y + x cos (y))

\frac{d y}{d x} + cos (y) - x sin (y) \frac{d y}{d x}

Solution steps

\frac{d}{d x} (y + x cos (y))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d y}{d x} + \frac{d}{d x} (x cos (y))

\frac{d}{d x} (x cos (y)) = cos (y) - x sin (y) \frac{d y}{d x}

= \frac{d y}{d x} + cos (y) - x sin (y) \frac{d y}{d x}

\frac{5 x + 5}{x ^{2} - 4}

\int \frac{e ^{l n (x)}}{x ^{2}} d x

\frac{d}{d x} (\frac{x ^{2} - 5 x}{x + 1})

x \to 4 lim (x 20 - x^{2})

\frac{\partial}{\partial x} (12 x y^{2})

What is the derivative of y+xcos(y) ?
The derivative of y+xcos(y) is (dy)/(dx)+cos(y)-xsin(y)(dy)/(dx)
What is the first derivative of y+xcos(y) ?
The first derivative of y+xcos(y) is (dy)/(dx)+cos(y)-xsin(y)(dy)/(dx)