What is the derivative of cos(2x2) ?

The derivative of cos(2x2) is -4sin(2x)

What is the first derivative of cos(2x2) ?

The first derivative of cos(2x2) is -4sin(2x)

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

- 4 sin (2 x)

Solution steps

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

Take the constant out:

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

= 2 \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

= 2 (- sin (2 x) \cdot 2)

Simplify

= - 4 sin (2 x)

\int_{- 3}^{- 2} 2 x (4 - x^{2})^{3} d x

\frac{d ^{2}}{d x ^{2}} (\frac{1}{1 + x ^{2}})

\int \frac{1}{( 3 - x ) 2 - x} d x

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

f (x) = (3 x^{3} + 1)^{2}

What is the derivative of cos(2x2) ?
The derivative of cos(2x2) is -4sin(2x)
What is the first derivative of cos(2x2) ?
The first derivative of cos(2x2) is -4sin(2x)