What is the derivative of 70pit+35cos((-2pit-pi)/2) ?

The derivative of 70pit+35cos((-2pit-pi)/2) is 70pi+35pisin((-2pit-pi)/2)

What is the first derivative of 70pit+35cos((-2pit-pi)/2) ?

The first derivative of 70pit+35cos((-2pit-pi)/2) is 70pi+35pisin((-2pit-pi)/2)

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derivative of

70 π t + 35 cos (\frac{- 2 π t - π}{2})

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

Solution steps

\frac{d}{d t} (70 π t + 35 cos (\frac{- 2 π t - π}{2}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (70 π t) + \frac{d}{d t} (35 cos (\frac{- 2 π t - π}{2}))

\frac{d}{d t} (70 π t) = 70 π

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

= 70 π + 35 π sin (\frac{- 2 π t - π}{2})

What is the derivative of 70pit+35cos((-2pit-pi)/2) ?
The derivative of 70pit+35cos((-2pit-pi)/2) is 70pi+35pisin((-2pit-pi)/2)
What is the first derivative of 70pit+35cos((-2pit-pi)/2) ?
The first derivative of 70pit+35cos((-2pit-pi)/2) is 70pi+35pisin((-2pit-pi)/2)