en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 35+35sin((-2pit-pi)/2)

Solution

derivative of

35 + 35 sin (\frac{- 2 π t - π}{2})

Solution

- 35 π cos (\frac{- 2 π t - π}{2})

Solution steps

\frac{d}{d t} (35 + 35 sin (\frac{- 2 π t - π}{2}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (35) + \frac{d}{d t} (35 sin (\frac{- 2 π t - π}{2}))

\frac{d}{d t} (35) = 0

\frac{d}{d t} (35 sin (\frac{- 2 π t - π}{2})) = - 35 π cos (\frac{- 2 π t - π}{2})

= 0 - 35 π cos (\frac{- 2 π t - π}{2})

Simplify

= - 35 π cos (\frac{- 2 π t - π}{2})

Popular Examples

derivative of (16/((2x+1)^3))

\frac{d}{d x} (\frac{16}{( 2 x + 1 ) ^{3}})

(\partial)/(\partial x)(4x-4x^3)

\frac{\partial}{\partial x} (4 x - 4 x^{3})

integral of (1/((x-1)^2))

\int (\frac{1}{( x - 1 ) ^{2}}) d x

y^{''}+9y=cos(2t)

y^{^{''}} + 9 y = cos (2 t)

limit as h approaches 0 of (((4+h)-4))/h

h \to 0 lim (\frac{( ( 4 + h ) - 4 )}{h})

Frequently Asked Questions (FAQ)

What is the derivative of 35+35sin((-2pit-pi)/2) ?
The derivative of 35+35sin((-2pit-pi)/2) is -35picos((-2pit-pi)/2)
What is the first derivative of 35+35sin((-2pit-pi)/2) ?
The first derivative of 35+35sin((-2pit-pi)/2) is -35picos((-2pit-pi)/2)