What is the derivative derivative of (100/((100-x))) ?

The derivative derivative of (100/((100-x))) is (100)/((100-x)^2)

What is the first derivative derivative of (100/((100-x))) ?

The first derivative derivative of (100/((100-x))) is (100)/((100-x)^2)

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derivative of

\frac{d}{d x} (\frac{100}{( 100 - x )})

\frac{100}{( 100 - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{100}{( 100 - x )})

Take the constant out:

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

= 100 \frac{d}{d x} (\frac{1}{100 - x})

Apply exponent rule:

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

= 100 \frac{d}{d x} ((100 - x)^{- 1})

Apply the chain rule:

- \frac{1}{( 100 - x ) ^{2}} \frac{d}{d x} (100 - x)

= - \frac{1}{( 100 - x ) ^{2}} \frac{d}{d x} (100 - x)

\frac{d}{d x} (100 - x) = - 1

= 100 (- \frac{1}{( 100 - x ) ^{2}} (- 1))

Simplify

100 (- \frac{1}{( 100 - x ) ^{2}} (- 1)) : \frac{100}{( 100 - x ) ^{2}}

= \frac{100}{( 100 - x ) ^{2}}

(4, 0), (0, 4)

\int (tan (y)) d y

\frac{d}{d t} (cos (2 t))

\frac{d}{d x} (2 cos (2 x))

\frac{d}{d x} (\frac{1}{( e ^{x} )})

What is the derivative derivative of (100/((100-x))) ?
The derivative derivative of (100/((100-x))) is (100)/((100-x)^2)
What is the first derivative derivative of (100/((100-x))) ?
The first derivative derivative of (100/((100-x))) is (100)/((100-x)^2)