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Popular >

derivative of arctan(x+1+2x-y)

Solution

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

Solution

\frac{1}{x ^{2} + 2 x + 2} + 2 - \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{x ^{2} + 2 x + 2} + 2 - \frac{d y}{d x}

Popular Examples

y^{''}+25y=cos(2x)

y^{^{''}} + 25 y = cos (2 x)

integral of ((sqrt(x)+7)^5)/(sqrt(x))

\int \frac{( x + 7 ) ^{5}}{x} d x

(dy)/(dx)=(-y^2)/(1+y^2)*e^{-x}

\frac{d y}{d x} = \frac{- y ^{2}}{1 + y ^{2}} \cdot e^{- x}

(\partial)/(\partial z)((x+z)e^{x-y})

\frac{\partial}{\partial z} ((x + z) e^{x - y})

integral of 1/(9e^{-2x)+e^{2x}}

\int \frac{1}{9 e ^{- 2 x} + e ^{2 x}} d x

Frequently Asked Questions (FAQ)

What is the derivative of arctan(x+1+2x-y) ?
The derivative of arctan(x+1+2x-y) is 1/(x^2+2x+2)+2-(dy)/(dx)
What is the first derivative of arctan(x+1+2x-y) ?
The first derivative of arctan(x+1+2x-y) is 1/(x^2+2x+2)+2-(dy)/(dx)