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

The derivative of x-cos(y) is 1+sin(y)(dy)/(dx)

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

The first derivative of x-cos(y) is 1+sin(y)(dy)/(dx)

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

1 + sin (y) \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - (- sin (y) \frac{d y}{d x})

Simplify

= 1 + sin (y) \frac{d y}{d x}

\frac{6}{( s - 2 ) ^{4} \cdot ( s + 2 ) ^{2}}

\int x^{7} - 3 x + 2 d x

\int \frac{1}{x ln ( x ^{4} )} d x

f (x) = cos (sin (x))

What is the derivative of x-cos(y) ?
The derivative of x-cos(y) is 1+sin(y)(dy)/(dx)
What is the first derivative of x-cos(y) ?
The first derivative of x-cos(y) is 1+sin(y)(dy)/(dx)