What is the derivative of f(x)= 6/(5x+2) ?

The derivative of f(x)= 6/(5x+2) is -(30)/((5x+2)^2)

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

The first derivative of f(x)= 6/(5x+2) is -(30)/((5x+2)^2)

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derivative of

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

- \frac{30}{( 5 x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{6}{5 x + 2})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{5 x + 2})

Apply exponent rule:

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

= 6 \frac{d}{d x} ((5 x + 2)^{- 1})

Apply the chain rule:

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

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

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

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

Simplify

6 (- \frac{1}{( 5 x + 2 ) ^{2}} \cdot 5) : - \frac{30}{( 5 x + 2 ) ^{2}}

= - \frac{30}{( 5 x + 2 ) ^{2}}

\frac{d}{d x} (e^{2 x} x^{3})

\int \frac{1}{9 x + 5} d x

\frac{\partial}{\partial x} (a x)

4 ∣ x + 3 ∣ - 5

f (x) = x e^{2 x}

What is the derivative of f(x)= 6/(5x+2) ?
The derivative of f(x)= 6/(5x+2) is -(30)/((5x+2)^2)
What is the first derivative of f(x)= 6/(5x+2) ?
The first derivative of f(x)= 6/(5x+2) is -(30)/((5x+2)^2)