Find the derivative of a trigonometric function Calculus

For any x \in \mathbb{R}, f is differentiable and f'\left(x\right) = -3\sin\left(x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right)= 3\cos\left(x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right)=-3x\sin\left(x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right)=3x\sin\left(x\right)

For any x \in \mathbb{R}, f is differentiable and f'\left(x\right) = 3\cos\left(3x + 2\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = \left(3x + 2\right)\cos\left(3\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -3x\cos\left(3x+2\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = 3\cos\left(3x + 2\right)\sin\left(3x + 2\right)

For any x \in \mathbb{R}, f is differentiable and f'\left(x\right) = -\cos\left(x\right)\sin\left(\sin\left(x\right)\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -\cos^2\left(\sin\left(x\right)\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -\cos\left(\sin\left(x\right)\right)\sin\left(\sin\left(x\right)\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -\sin\left(x\right)\cos\left(\sin\left(x\right)\right)

For any real x such that x\neq\left(\dfrac{3}{2}+3n\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = -2\sec^{2}\left(\dfrac{1}{3}x\right)

For any real x such that x\neq\left(\dfrac{3}{2}+3n\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = 2\sec\left(\dfrac{1}{3}x\right)

For any real x such that x\neq\left(\dfrac{3}{2}+3n\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = -2x\sec^{2}\left(x\right)

For any real x such that x\neq\left(\dfrac{3}{2}+3n\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = 18\dfrac{\cos\left(3x\right)}{\sin\left(3x\right)}

For any x \in \mathbb{R}, f is differentiable and f'\left(x\right) = -6\sin\left(3x\right)\cos\left(3x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -6\sin\left(3x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = -3\sin\left(3x\right)\cos\left(3x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = 6\cos\left(3x\right)

For any real x such that x\neq -\left(\dfrac{1}{8}+\dfrac{n}{4}\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = \dfrac{-4}{5}\sec^{2}\left(4x\right)

For any real x such that x\neq -\left(\dfrac{1}{8}+\dfrac{n}{4}\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = \dfrac{4}{5}\sec^{2}\left(-x\right)

For any real x such that x\neq -\left(\dfrac{1}{8}+\dfrac{n}{4}\right)\pi (where n is a non-zero integer), f is differentiable and f'\left(x\right) = \dfrac{-4}{5}\sec\left(-4x\right)\tan\left(-4x\right)

f is not differentiable

For any x \in \mathbb{R}, f is differentiable and f'\left(x\right) = 6x\cos\left(6x^2\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = \dfrac{1}{2}\cos\left(12x\right)\sin\left(6x^2\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = 6x\cos\left(12x\right)

For any x \in \mathbb{R} , f is differentiable and f'\left(x\right) = 6x\sin\left(6x^2\right)