What is the d/(dθ)(cos(3θ)) ?

The d/(dθ)(cos(3θ)) is -sin(3θ)*3

What is the first d/(dθ)(cos(3θ)) ?

The first d/(dθ)(cos(3θ)) is -sin(3θ)*3

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\frac{d}{d θ} (cos (3 θ))

- sin (3 θ) \cdot 3

Solution steps

\frac{d}{d θ} (cos (3 θ))

Apply the chain rule:

- sin (3 θ) \frac{d}{d θ} (3 θ)

= - sin (3 θ) \frac{d}{d θ} (3 θ)

\frac{d}{d θ} (3 θ) = 3

= - sin (3 θ) \cdot 3

(1 + x + x^{2})^{99}

\int e^{5 x^{2} + 10 x + 10} (x + 1) d x

\frac{d}{d x} (sin (\frac{x}{8}))

x \to 2 π - lim (e^{\frac{1}{x}} - x)

x \to - \frac{π}{2} lim (csc (\frac{x}{2}))