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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to - 3 lim (π - x)

\int_{0}^{\infty} t \cdot e^{- t} d t

f (x) = cos (sin^{2} (x))

\int π^{2} r^{4} d r

f (x) = 2 x + 3 x

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