What is the derivative of cos(e^{-2θ^3}) ?

The derivative of cos(e^{-2θ^3}) is 6e^{-2θ^3}θ^2sin(e^{-2θ^3})

What is the first derivative of cos(e^{-2θ^3}) ?

The first derivative of cos(e^{-2θ^3}) is 6e^{-2θ^3}θ^2sin(e^{-2θ^3})

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derivative of

cos (e^{- 2 θ^{3}})

6 e^{- 2 θ^{3}} θ^{2} sin (e^{- 2 θ^{3}})

Solution steps

\frac{d}{d θ} (cos (e^{- 2 θ^{3}}))

Apply the chain rule:

- sin (e^{- 2 θ^{3}}) \frac{d}{d θ} (e^{- 2 θ^{3}})

= - sin (e^{- 2 θ^{3}}) \frac{d}{d θ} (e^{- 2 θ^{3}})

\frac{d}{d θ} (e^{- 2 θ^{3}}) = - 6 e^{- 2 θ^{3}} θ^{2}

= - sin (e^{- 2 θ^{3}}) (- 6 e^{- 2 θ^{3}} θ^{2})

Simplify

= 6 e^{- 2 θ^{3}} θ^{2} sin (e^{- 2 θ^{3}})

What is the derivative of cos(e^{-2θ^3}) ?
The derivative of cos(e^{-2θ^3}) is 6e^{-2θ^3}θ^2sin(e^{-2θ^3})
What is the first derivative of cos(e^{-2θ^3}) ?
The first derivative of cos(e^{-2θ^3}) is 6e^{-2θ^3}θ^2sin(e^{-2θ^3})