What is the derivative of f(x)= 1/(3-x) ?

The derivative of f(x)= 1/(3-x) is 1/((3-x)^2)

What is the first derivative of f(x)= 1/(3-x) ?

The first derivative of f(x)= 1/(3-x) is 1/((3-x)^2)

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derivative of

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

\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}}

\int_{0}^{3} 2 d x

\frac{14}{ln ( x )}

\frac{7}{( s - 7 ) ^{8}}

\int θ csc^{2} (θ) d θ

\int 5 x - 6 d x

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