What is the derivative of 2/((x-3)) ?

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

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

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

Popular >

derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

y = sin^{\frac{1}{2}} (2 x + 1)

2^{x} ln^{2} (x)

e^{\frac{x}{5}}

(x^{2} + a^{2})^{\frac{1}{2}}

e^{0.1 t - 1} (5 + t)

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