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Popular >

derivative of 1/(4-x)

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

Graph

Popular Examples

derivative of f(x)=(sin(x)-x)/(x^2)derivative of

f (x) = \frac{sin ( x ) - x}{x ^{2}}

integral of x/(4-x^2)

\int \frac{x}{4 - x ^{2}} d x

(\partial)/(\partial x)(11x^2-2x^3)

\frac{\partial}{\partial x} (11 x^{2} - 2 x^{3})

integral from 0 to 1 of 2pi(x)(9-8x-x^2)

\int_{0}^{1} 2 π (x) (9 - 8 x - x^{2}) d x

derivative of g(x)=(1+6x)/(9-4x)derivative of

g (x) = \frac{1 + 6 x}{9 - 4 x}

Frequently Asked Questions (FAQ)

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