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Popular >

derivative of 3/(2-x)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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\int sec^{2} (3 x + 5) d x

limit as x approaches 0 of 2+3e^{-3/x}

x \to 0 lim (2 + 3 e^{- \frac{3}{x}})

derivative of 2sin(1/2 x)

\frac{d}{d x} (2 sin (\frac{1}{2} x))

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\int - 2 x d x

derivative of y=e^{x^2+9x+4}derivative of

y = e^{x^{2} + 9 x + 4}

Frequently Asked Questions (FAQ)

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