What is the d/(dt)(cos(t)+sin(t)) ?

The d/(dt)(cos(t)+sin(t)) is -sin(t)+cos(t)

What is the first d/(dt)(cos(t)+sin(t)) ?

The first d/(dt)(cos(t)+sin(t)) is -sin(t)+cos(t)

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\frac{d}{d t} (cos (t) + sin (t))

- sin (t) + cos (t)

Solution steps

\frac{d}{d t} (cos (t) + sin (t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (cos (t)) + \frac{d}{d t} (sin (t))

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

\frac{d}{d t} (sin (t)) = cos (t)

= - sin (t) + cos (t)

y^{^{'}} + 2 y = 2 x

\frac{\partial}{\partial x} (\frac{x ^{2}}{( x + y ) ^{2}})

s im pl i f y x y

d er i v a t i v e \frac{- 2 x - y}{x + 2 y}

\frac{d ^{4}}{d x ^{4}} (sin (x^{2}))

What is the d/(dt)(cos(t)+sin(t)) ?
The d/(dt)(cos(t)+sin(t)) is -sin(t)+cos(t)
What is the first d/(dt)(cos(t)+sin(t)) ?
The first d/(dt)(cos(t)+sin(t)) is -sin(t)+cos(t)