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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int_{0}^{2 π} sin (x) cos (x) d x

y^{^{''}} - 3 y^{^{'}} = 4 t

\int 2 e^{7} d x

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

\int (π - x)^{2} d x

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