What is the derivative of sin^2(1-s^2) ?

The derivative of sin^2(1-s^2) is -4ssin(1-s^2)cos(1-s^2)

What is the first derivative of sin^2(1-s^2) ?

The first derivative of sin^2(1-s^2) is -4ssin(1-s^2)cos(1-s^2)

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derivative of

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

- 4 s sin (1 - s^{2}) cos (1 - s^{2})

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (1 - s^{2}) (- 2 s cos (1 - s^{2}))

Simplify

= - 4 s sin (1 - s^{2}) cos (1 - s^{2})

\int tan^{2} (θ) sec^{4} (θ) d θ

x^{3} - 3 x, x

\frac{d}{d x} (ln ∣ 4 x - 3 ∣)

\int x (2 x - 1) d x

x \to π lim (ln ∣ cos (x) - 8 ∣)

What is the derivative of sin^2(1-s^2) ?
The derivative of sin^2(1-s^2) is -4ssin(1-s^2)cos(1-s^2)
What is the first derivative of sin^2(1-s^2) ?
The first derivative of sin^2(1-s^2) is -4ssin(1-s^2)cos(1-s^2)