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Popular >

derivative of 1/(3-x)

Solution

derivative of

\frac{1}{3 - x}

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

Popular Examples

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

\int_{1}^{e} \frac{x ^{2} + x + 1}{x} d x

integral from-2 to 3 of (19)/(x^4)

\int_{- 2}^{3} \frac{19}{x ^{4}} d x

limit as x approaches 2 of-1/(x-2)

x \to 2 lim (- \frac{1}{x - 2})

integral of (3-x^2)^3

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

derivative of f(x)=e^{x^3}derivative of

f (x) = e^{x^{3}}

Frequently Asked Questions (FAQ)

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