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Popular >

derivative of 1/(4+3x)

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral from 1 to 2 of x^5+1/(4x^5)

\int_{1}^{2} x^{5} + \frac{1}{4 x ^{5}} d x

integral from 0 to 1 of (x-4)/(x^2-5x-6)

\int_{0}^{1} \frac{x - 4}{x ^{2} - 5 x - 6} d x

integral of 1/((x^2+1)^3)

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

(\partial)/(\partial x)(ln(x^2+xy))

\frac{\partial}{\partial x} (ln (x^{2} + x y))

(2000)/((2000-P)P)P^'=0.05

\frac{2000}{( 2000 - P ) P} P^{^{'}} = 0.05

Frequently Asked Questions (FAQ)

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