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Popular >

derivative of 1/(3x-4)

Solution

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

Solution

- \frac{3}{( 3 x - 4 ) ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

- \frac{1}{( 3 x - 4 ) ^{2}} \frac{d}{d x} (3 x - 4)

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

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

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

Simplify

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

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

Popular Examples

derivative of 2.2716e^{0.2865x}

\frac{d}{d x} (2.2716 e^{0.2865 x})

integral of sqrt(x)(x^{1/3}-x^{2/5})

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

integral from 0 to infinity of sin(x)

\int_{0}^{\infty} sin (x) d x

derivative of (4x+1)/(sqrt(x))derivative of

\frac{4 x + 1}{x}

(dy)/(dx)= x/(1+x^2)

\frac{d y}{d x} = \frac{x}{1 + x ^{2}}

Frequently Asked Questions (FAQ)

What is the derivative of 1/(3x-4) ?
The derivative of 1/(3x-4) is -3/((3x-4)^2)
What is the first derivative of 1/(3x-4) ?
The first derivative of 1/(3x-4) is -3/((3x-4)^2)