en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cos(e^{-4θ^5})

Solution

derivative of

cos (e^{- 4 θ^{5}})

Solution

20 e^{- 4 θ^{5}} θ^{4} sin (e^{- 4 θ^{5}})

Solution steps

\frac{d}{d θ} (cos (e^{- 4 θ^{5}}))

Apply the chain rule:

- sin (e^{- 4 θ^{5}}) \frac{d}{d θ} (e^{- 4 θ^{5}})

= - sin (e^{- 4 θ^{5}}) \frac{d}{d θ} (e^{- 4 θ^{5}})

\frac{d}{d θ} (e^{- 4 θ^{5}}) = - 20 e^{- 4 θ^{5}} θ^{4}

= - sin (e^{- 4 θ^{5}}) (- 20 e^{- 4 θ^{5}} θ^{4})

Simplify

= 20 e^{- 4 θ^{5}} θ^{4} sin (e^{- 4 θ^{5}})

Popular Examples

derivative of (9x^2-6/(x^2))

\frac{d}{d x} (\frac{9 x ^{2} - 6}{x ^{2}})

(\partial)/(\partial x)(4/(1+x^2))

\frac{\partial}{\partial x} (\frac{4}{1 + x ^{2}})

derivative of 1-xycos(piy)

\frac{d}{d x} (1 - x y cos (π y))

f (x) = 5^{x} ln (5)

derivative of (1+x^4)^{4/5}derivative of

(1 + x^{4})^{\frac{4}{5}}

Frequently Asked Questions (FAQ)

What is the derivative of cos(e^{-4θ^5}) ?
The derivative of cos(e^{-4θ^5}) is 20e^{-4θ^5}θ^4sin(e^{-4θ^5})
What is the first derivative of cos(e^{-4θ^5}) ?
The first derivative of cos(e^{-4θ^5}) is 20e^{-4θ^5}θ^4sin(e^{-4θ^5})