What is the derivative of sin(x+2y) ?

The derivative of sin(x+2y) is cos(x+2y)(1+2(dy)/(dx))

What is the first derivative of sin(x+2y) ?

The first derivative of sin(x+2y) is cos(x+2y)(1+2(dy)/(dx))

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\frac{d}{d x} (sin (x + 2 y))

cos (x + 2 y) (1 + 2 \frac{d y}{d x})

Solution steps

\frac{d}{d x} (sin (x + 2 y))

Apply the chain rule:

cos (x + 2 y) \frac{d}{d x} (x + 2 y)

= cos (x + 2 y) \frac{d}{d x} (x + 2 y)

\frac{d}{d x} (x + 2 y) = 1 + 2 \frac{d y}{d x}

= cos (x + 2 y) (1 + 2 \frac{d y}{d x})

y^{^{'}} = 2 y

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

\frac{7 e ^{x} + 5 e ^{- x}}{8}

6 x^{2}, x^{2} + 12

\frac{d}{d x} (\frac{x ^{9} e ^{x}}{x ^{9} + e ^{x}})

What is the derivative of sin(x+2y) ?
The derivative of sin(x+2y) is cos(x+2y)(1+2(dy)/(dx))
What is the first derivative of sin(x+2y) ?
The first derivative of sin(x+2y) is cos(x+2y)(1+2(dy)/(dx))