What is the derivative of 3/(4x-5) ?

The derivative of 3/(4x-5) is -(12)/((4x-5)^2)

What is the first derivative of 3/(4x-5) ?

The first derivative of 3/(4x-5) is -(12)/((4x-5)^2)

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\frac{d}{d x} (\frac{3}{4 x - 5})

- \frac{12}{( 4 x - 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{4 x - 5})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{4 x - 5})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((4 x - 5)^{- 1})

Apply the chain rule:

- \frac{1}{( 4 x - 5 ) ^{2}} \frac{d}{d x} (4 x - 5)

= - \frac{1}{( 4 x - 5 ) ^{2}} \frac{d}{d x} (4 x - 5)

\frac{d}{d x} (4 x - 5) = 4

= 3 (- \frac{1}{( 4 x - 5 ) ^{2}} \cdot 4)

Simplify

3 (- \frac{1}{( 4 x - 5 ) ^{2}} \cdot 4) : - \frac{12}{( 4 x - 5 ) ^{2}}

= - \frac{12}{( 4 x - 5 ) ^{2}}

x y^{^{'}} = y ln (x y)

x \to 0 + lim (2 x ln (4 x^{2}))

\frac{d y}{d x} = \frac{x}{3 y ^{2}}

n = 1 \sum \infty \frac{25 n !}{n ^{n}}

\frac{d}{d x} (\frac{x}{f ( x )})

What is the derivative of 3/(4x-5) ?
The derivative of 3/(4x-5) is -(12)/((4x-5)^2)
What is the first derivative of 3/(4x-5) ?
The first derivative of 3/(4x-5) is -(12)/((4x-5)^2)