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

The derivative of 3/(2-2x^2) is (3x)/((x^2-1)^2)

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

The first derivative of 3/(2-2x^2) is (3x)/((x^2-1)^2)

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

= 3 (- \frac{1}{( 2 - 2 x ^{2} ) ^{2}} (- 4 x))

Simplify

3 (- \frac{1}{( 2 - 2 x ^{2} ) ^{2}} (- 4 x)) : \frac{3 x}{( x ^{2} - 1 ) ^{2}}

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

\int \frac{x ^{2}}{25 + x ^{2}} d x

\frac{\partial}{\partial x} (4 y (\frac{1}{x} - ln (x)))

\int_{0}^{π} x sin (2 x) d x

\frac{\partial}{\partial x} (x e^{15 x y})

What is the derivative of 3/(2-2x^2) ?
The derivative of 3/(2-2x^2) is (3x)/((x^2-1)^2)
What is the first derivative of 3/(2-2x^2) ?
The first derivative of 3/(2-2x^2) is (3x)/((x^2-1)^2)