What is the derivative of (14)/(2x+16) ?

The derivative of (14)/(2x+16) is -7/((x+8)^2)

What is the first derivative of (14)/(2x+16) ?

The first derivative of (14)/(2x+16) is -7/((x+8)^2)

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derivative of

\frac{14}{2 x + 16}

- \frac{7}{( x + 8 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{14}{2 x + 16})

Take the constant out:

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

= 14 \frac{d}{d x} (\frac{1}{2 x + 16})

Apply exponent rule:

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

= 14 \frac{d}{d x} ((2 x + 16)^{- 1})

Apply the chain rule:

- \frac{1}{( 2 x + 16 ) ^{2}} \frac{d}{d x} (2 x + 16)

= - \frac{1}{( 2 x + 16 ) ^{2}} \frac{d}{d x} (2 x + 16)

\frac{d}{d x} (2 x + 16) = 2

= 14 (- \frac{1}{( 2 x + 16 ) ^{2}} \cdot 2)

Simplify

14 (- \frac{1}{( 2 x + 16 ) ^{2}} \cdot 2) : - \frac{7}{( x + 8 ) ^{2}}

= - \frac{7}{( x + 8 ) ^{2}}

x y^{3} d y = d x, y (1) = 2

\int \frac{x ^{3} - 3 x ^{2} + 2 x - 4}{x - 1} d x

x \to 0 lim (\frac{e ^{x} - 1}{11 x})

x \to - 3 lim (\frac{9 - x ^{2}}{x + 3})

\frac{\partial}{\partial x} (ln (\frac{x}{1 - x}))

What is the derivative of (14)/(2x+16) ?
The derivative of (14)/(2x+16) is -7/((x+8)^2)
What is the first derivative of (14)/(2x+16) ?
The first derivative of (14)/(2x+16) is -7/((x+8)^2)