What is the d/(dt)(1/(sqrt(1-2t))) ?

The d/(dt)(1/(sqrt(1-2t))) is 1/((1-2t)^{3/2)}

What is the first d/(dt)(1/(sqrt(1-2t))) ?

The first d/(dt)(1/(sqrt(1-2t))) is 1/((1-2t)^{3/2)}

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

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

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int 8 e^{7 x} d x

x \to 1 lim (π x cos (π) x)

\int e^{x} a - b e^{x} d x

y^{^{''}} + y^{^{'}} + 2 y = 0

\frac{d}{d x} ((5 x^{2} - 9) (8 x + 3))

What is the d/(dt)(1/(sqrt(1-2t))) ?
The d/(dt)(1/(sqrt(1-2t))) is 1/((1-2t)^{3/2)}
What is the first d/(dt)(1/(sqrt(1-2t))) ?
The first d/(dt)(1/(sqrt(1-2t))) is 1/((1-2t)^{3/2)}