What is the derivative of 3/(2x+5) ?

The derivative of 3/(2x+5) is -6/((2x+5)^2)

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

The first derivative of 3/(2x+5) is -6/((2x+5)^2)

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

- \frac{6}{( 2 x + 5 ) ^{2}}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (\frac{1}{2 x + 5})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 3 \frac{d}{d x} ((2 x + 5)^{- 1})

Apply the chain rule:

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

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

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

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

Simplify

3 (- \frac{1}{( 2 x + 5 ) ^{2}} \cdot 2) : - \frac{6}{( 2 x + 5 ) ^{2}}

= - \frac{6}{( 2 x + 5 ) ^{2}}

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

1 + \frac{1}{s ( s + 2 )}

\frac{1 - 4 x}{2 + x}

\int_{0}^{1} π (2 x)^{2} d x

\int \frac{2 s - 8}{( s ^{2} - 8 s + 25 ) ^{2}} d s

What is the derivative of 3/(2x+5) ?
The derivative of 3/(2x+5) is -6/((2x+5)^2)
What is the first derivative of 3/(2x+5) ?
The first derivative of 3/(2x+5) is -6/((2x+5)^2)