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

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

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= - \frac{6}{( 3 x + 5 ) ^{2}}

y = 3 x, y = \frac{3 x}{2}

\frac{d}{d x} (- tan^{2} (x))

4 x - 3

\frac{\partial}{\partial x} (9 e^{x - y})

n = 2 \sum \infty \frac{4}{7 ^{n}}

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