What is the derivative of cos(x+cos(y)) ?

The derivative of cos(x+cos(y)) is -sin(x)-sin(y)(dy)/(dx)

What is the first derivative of cos(x+cos(y)) ?

The first derivative of cos(x+cos(y)) is -sin(x)-sin(y)(dy)/(dx)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (\frac{x}{3 + x})

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

\frac{d y}{d t} + y = 2

\int \frac{6 x + 6}{5 x ^{2} + 26 x + 5} d x

\frac{d}{d x} (3 x^{2} + 2 x)

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