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

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

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

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

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

- sin (2 x)

Solution steps

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

Simplify

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

= \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)

\int e^{5 x} d x

n = 0 \sum \infty 1 + n

\int \frac{5 x}{x ^{4} - 16} d x

\frac{d}{d x} (2 e^{4 x})

y^{^{''}} + 2 y^{^{'}} = - 8

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