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Popular >

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

Solution

derivative of

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

Solution

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})

Popular Examples

integral from 0 to 8 of sin(sqrt(x))

\int_{0}^{8} sin (x) d x

integral of sin(3x)cos(7x)

\int sin (3 x) cos (7 x) d x

x^2y^{''}+3xy^'-24y=0,y(1)=3,y^'(1)=-3

x^{2} y^{^{''}} + 3 x y^{^{'}} - 24 y = 0, y (1) = 3, y^{^{'}} (1) = - 3

(d^2)/(dx^2)(1/x+1/y+xy)

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

integral of 1/(1+sin(θ))

\int \frac{1}{1 + sin ( θ )} d θ

Frequently Asked Questions (FAQ)

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)