What is the d/(dt)(cos(3t)-sin(3t)) ?

The d/(dt)(cos(3t)-sin(3t)) is -sin(3t)*3-cos(3t)*3

What is the first d/(dt)(cos(3t)-sin(3t)) ?

The first d/(dt)(cos(3t)-sin(3t)) is -sin(3t)*3-cos(3t)*3

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\frac{d}{d t} (cos (3 t) - sin (3 t))

- sin (3 t) \cdot 3 - cos (3 t) \cdot 3

Solution steps

\frac{d}{d t} (cos (3 t) - sin (3 t))

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (cos (3 t)) - \frac{d}{d t} (sin (3 t))

\frac{d}{d t} (cos (3 t)) = - sin (3 t) \cdot 3

\frac{d}{d t} (sin (3 t)) = cos (3 t) \cdot 3

= - sin (3 t) \cdot 3 - cos (3 t) \cdot 3

f (x) = - 7 x^{6}

f (n) = 2^{n} + 1

f (j) = cosh (0.942 + j^{0.429})

f (x) = 6 x^{5} - 10 x^{3}

f (x) = 5 - 2 - x

What is the d/(dt)(cos(3t)-sin(3t)) ?
The d/(dt)(cos(3t)-sin(3t)) is -sin(3t)*3-cos(3t)*3
What is the first d/(dt)(cos(3t)-sin(3t)) ?
The first d/(dt)(cos(3t)-sin(3t)) is -sin(3t)*3-cos(3t)*3