What is the derivative of cos(1-x^2) ?

The derivative of cos(1-x^2) is 2xsin(1-x^2)

What is the first derivative of cos(1-x^2) ?

The first derivative of cos(1-x^2) is 2xsin(1-x^2)

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

2 x sin (1 - x^{2})

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (1 - x^{2}) (- 2 x)

Simplify

= 2 x sin (1 - x^{2})

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

\int \frac{1}{a} d a

\frac{4 x ^{3} + 3 x ^{2}}{x}

f (t) = t^{2} + 5

What is the derivative of cos(1-x^2) ?
The derivative of cos(1-x^2) is 2xsin(1-x^2)
What is the first derivative of cos(1-x^2) ?
The first derivative of cos(1-x^2) is 2xsin(1-x^2)