What is the derivative of 3/(5-x) ?

The derivative of 3/(5-x) is 3/((5-x)^2)

What is the first derivative of 3/(5-x) ?

The first derivative of 3/(5-x) is 3/((5-x)^2)

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\frac{d}{d x} (\frac{3}{5 - x})

\frac{3}{( 5 - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{3}{5 - x})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{5 - x})

Apply exponent rule:

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

= 3 \frac{d}{d x} ((5 - x)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 - x ) ^{2}} \frac{d}{d x} (5 - x)

= - \frac{1}{( 5 - x ) ^{2}} \frac{d}{d x} (5 - x)

\frac{d}{d x} (5 - x) = - 1

= 3 (- \frac{1}{( 5 - x ) ^{2}} (- 1))

Simplify

3 (- \frac{1}{( 5 - x ) ^{2}} (- 1)) : \frac{3}{( 5 - x ) ^{2}}

= \frac{3}{( 5 - x ) ^{2}}

\frac{d}{d x} (cos (x) sec^{7} (x))

2 sin (x) + c e^{- x} cos (x)

\int 3 sin^{3} (x co) s^{2} x d x

\frac{d}{d x} (- 3 x - 4)

1728 - 1160 x + 34 x^{2} + x^{3}

What is the derivative of 3/(5-x) ?
The derivative of 3/(5-x) is 3/((5-x)^2)
What is the first derivative of 3/(5-x) ?
The first derivative of 3/(5-x) is 3/((5-x)^2)