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

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

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

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

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derivative of

\frac{1}{1 - t}

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

Solution steps

\frac{d}{d t} (\frac{1}{1 - t})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{x}{x ^{2} ( x ^{2} + 1 )} d x

y^{^{''}} + 6 y^{^{'}} + 11 y = 0, y (0) = - 1, y^{^{'}} (0) = - 4

\frac{d}{d x} (\frac{27}{x ^{2} + 9})

\int_{0}^{7} \frac{2 t}{( t - 8 ) ^{2}} d t

\frac{\partial}{\partial x} (\frac{2 πk t}{ln ( \frac{r}{x} )})

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