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

The derivative of y=1-cos^2(x) is sin(2x)

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

The first derivative of y=1-cos^2(x) is sin(2x)

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derivative of

y = 1 - cos^{2} (x)

sin (2 x)

Solution steps

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

Simplify

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

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

Apply the chain rule:

2 sin (x) \frac{d}{d x} (sin (x))

= 2 sin (x) \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= 2 sin (x) cos (x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 x)

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

y^{^{'}} = 13.2 - \frac{6 y}{740 - 2 t}

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

\frac{d y}{d x} = 4 x - y

\int \frac{x ^{2} - 3 x + 1}{x + 1} d x

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