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

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

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

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

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

- sin (2 x) \cdot 2

Solution steps

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

Simplify

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

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

Apply the chain rule:

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

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

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

= - sin (2 x) \cdot 2

\int + x^{9} x^{5} + 5 d x

(2 + x) (\frac{d y}{d x}) - x y = 0

\int_{0}^{2} 3 x + 4 d x

\frac{\partial}{\partial x} (7 x e^{7 x y})

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

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