What is the d/(dθ)(cos^3(θ)) ?

The d/(dθ)(cos^3(θ)) is -3cos^2(θ)sin(θ)

What is the first d/(dθ)(cos^3(θ)) ?

The first d/(dθ)(cos^3(θ)) is -3cos^2(θ)sin(θ)

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\frac{d}{d θ} (cos^{3} (θ))

- 3 cos^{2} (θ) sin (θ)

Solution steps

\frac{d}{d θ} (cos^{3} (θ))

Apply the chain rule:

3 (cos (θ))^{2} \frac{d}{d θ} (cos (θ))

= 3 (cos (θ))^{2} \frac{d}{d θ} (cos (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= 3 (cos (θ))^{2} (- sin (θ))

Simplify

= - 3 cos^{2} (θ) sin (θ)

2 y d y = \frac{5}{x} d x

\frac{d}{d x} (\frac{x + 1}{x + 3})

\frac{\partial}{\partial x} (\frac{2}{3} y^{- \frac{1}{3}})

y^{^{'}} = (x + y - 1)^{2}, y (0) = 0

y^{^{''}} - 3 y^{^{'}} - 4 y = e^{4 t}

What is the d/(dθ)(cos^3(θ)) ?
The d/(dθ)(cos^3(θ)) is -3cos^2(θ)sin(θ)
What is the first d/(dθ)(cos^3(θ)) ?
The first d/(dθ)(cos^3(θ)) is -3cos^2(θ)sin(θ)