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

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

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

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

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derivative of

1 - t^{2}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} (ln (6 x^{3}))

\int \frac{( 5 t - 2 )}{t + 1} d t

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

\int \frac{e ^{x}}{3} - 4 x^{3} + \frac{6}{x} d x

\frac{\partial}{\partial x} (ln (2 x^{2} + y^{2}))

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