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Popular >

derivative of (x+1/(2x+5))

Solution

\frac{d}{d x} (\frac{x + 1}{2 x + 5})

Solution

\frac{3}{( 2 x + 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 1}{2 x + 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x + 1 ) ( 2 x + 5 ) - \frac{d}{d x} ( 2 x + 5 ) ( x + 1 )}{( 2 x + 5 ) ^{2}}

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

\frac{d}{d x} (2 x + 5) = 2

= \frac{1 \cdot ( 2 x + 5 ) - 2 ( x + 1 )}{( 2 x + 5 ) ^{2}}

Simplify

\frac{1 \cdot ( 2 x + 5 ) - 2 ( x + 1 )}{( 2 x + 5 ) ^{2}} : \frac{3}{( 2 x + 5 ) ^{2}}

= \frac{3}{( 2 x + 5 ) ^{2}}

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x \to 0 + lim (\frac{( 36 - 4 x ^{2} )}{x})

derivative of 10sec^2(x)

\frac{d}{d x} (10 sec^{2} (x))

integral from 0 to 1 of 2piy(y-y^7)

\int_{0}^{1} 2 π y (y - y^{7}) d y

integral of-2x^5

\int - 2 x^{5} d x

(\partial)/(\partial y)(sqrt(x+2)-y)

\frac{\partial}{\partial y} (x + 2 - y)

Frequently Asked Questions (FAQ)

What is the derivative of (x+1/(2x+5)) ?
The derivative of (x+1/(2x+5)) is 3/((2x+5)^2)
What is the first derivative of (x+1/(2x+5)) ?
The first derivative of (x+1/(2x+5)) is 3/((2x+5)^2)