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

The derivative of-sin^2(x) is -sin(2x)

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

The first derivative of-sin^2(x) is -sin(2x)

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derivative of

- sin^{2} (x)

- sin (2 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \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)

(1 - x)^{- 1}

x^{8} + x^{\frac{1}{8}}

2 cos (2 + x^{3})

lo g_{10} (x^{2} + x + 1)

f (x) = \frac{3 ^{x}}{x}

What is the derivative of-sin^2(x) ?
The derivative of-sin^2(x) is -sin(2x)
What is the first derivative of-sin^2(x) ?
The first derivative of-sin^2(x) is -sin(2x)