What is the derivative of-1/((1+t)^2) ?

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

What is the first derivative of-1/((1+t)^2) ?

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

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derivative of

- \frac{1}{( 1 + t ) ^{2}}

\frac{2}{( 1 + t ) ^{3}}

Solution steps

\frac{d}{d t} (- \frac{1}{( 1 + t ) ^{2}})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d t} (1 + t) = 1

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

Simplify

= \frac{2}{( 1 + t ) ^{3}}

6 y^{^{''}} - y^{^{'}} - y = 0

\frac{d}{d x} (5 x^{3} y^{4})

(\frac{d y}{d x})^{2} + 2 e^{x} \frac{d y}{d x} + e^{2 x} = 0

11 - x^{2}

\int \frac{x ^{2}}{( 9 - x ^{2} ) ^{\frac{3}{2}}} d x

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