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

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

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

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

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

sin (2 (1 - x))

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cos (1 - x) sin (1 - x)

Use the Double Angle identity:

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

= sin (2 (1 - x))

\frac{2}{s ^{2} + 40 s + 400}

\int_{0}^{4} e^{2 x} d x

(a x^{2} + b x + c) \cdot e^{- \frac{x}{2}}

\int x^{5} e^{- x} d x

f (x) = \frac{5}{x}, at x = 2

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