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Popular >

derivative of (x+2/(x+1))

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

= \frac{1 \cdot ( x + 1 ) - 1 \cdot ( x + 2 )}{( x + 1 ) ^{2}}

Simplify

\frac{1 \cdot ( x + 1 ) - 1 \cdot ( x + 2 )}{( x + 1 ) ^{2}} : - \frac{1}{( x + 1 ) ^{2}}

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

Popular Examples

integral of x^2e^{x^2}

\int x^{2} e^{x^{2}} d x

(\partial)/(\partial y)(e^{xy}y)

\frac{\partial}{\partial y} (e^{x y} y)

integral of (3+x^8)^48x^7

\int (3 + x^{8})^{4} 8 x^{7} d x

tangent of f(x)=x^2-1/x ,\at x=-1 tangent of

f (x) = x^{2} - \frac{1}{x}, at x = - 1

derivative of e^{arcsin(x})

\frac{d}{d x} (e^{a r c s i n (x)})

Frequently Asked Questions (FAQ)

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