What is the derivative of 4/(11-x) ?

The derivative of 4/(11-x) is 4/((11-x)^2)

What is the first derivative of 4/(11-x) ?

The first derivative of 4/(11-x) is 4/((11-x)^2)

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\frac{d}{d x} (\frac{4}{11 - x})

\frac{4}{( 11 - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{4}{11 - x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (\frac{1}{11 - x})

Apply exponent rule:

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

= 4 \frac{d}{d x} ((11 - x)^{- 1})

Apply the chain rule:

- \frac{1}{( 11 - x ) ^{2}} \frac{d}{d x} (11 - x)

= - \frac{1}{( 11 - x ) ^{2}} \frac{d}{d x} (11 - x)

\frac{d}{d x} (11 - x) = - 1

= 4 (- \frac{1}{( 11 - x ) ^{2}} (- 1))

Simplify

4 (- \frac{1}{( 11 - x ) ^{2}} (- 1)) : \frac{4}{( 11 - x ) ^{2}}

= \frac{4}{( 11 - x ) ^{2}}

y = x 2 x + 3

\int 7^{x} tan (7^{x}) d x

x \to \frac{π}{2} lim (e^{s i n (x)})

x \to 0 lim (\frac{x cos ( x )}{x})

\frac{d}{d x} (\frac{3}{x ^{2} + 9})

What is the derivative of 4/(11-x) ?
The derivative of 4/(11-x) is 4/((11-x)^2)
What is the first derivative of 4/(11-x) ?
The first derivative of 4/(11-x) is 4/((11-x)^2)