What is the d/(dy)((x)(1-cos(y))) ?

The d/(dy)((x)(1-cos(y))) is xsin(y)

What is the first d/(dy)((x)(1-cos(y))) ?

The first d/(dy)((x)(1-cos(y))) is xsin(y)

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\frac{d}{d y} ((x) (1 - cos (y)))

x sin (y)

Solution steps

\frac{d}{d y} ((x) (1 - cos (y)))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d y} (1) = 0

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

= x (0 - (- sin (y)))

Simplify

= x sin (y)

\frac{( ( x ^{2} - y ^{2} ) )}{2 x y}

4 x + 3 y \cdot 4 x - 3 y

\frac{5 ( 18 - 3 y )}{2}

(1 - \frac{3 - i}{2})^{24}

\frac{d}{d x} (x (x - 4)^{3}) + 2

What is the d/(dy)((x)(1-cos(y))) ?
The d/(dy)((x)(1-cos(y))) is xsin(y)
What is the first d/(dy)((x)(1-cos(y))) ?
The first d/(dy)((x)(1-cos(y))) is xsin(y)