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

The d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)

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

The first d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)

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\frac{d}{d t} (cos^{3} (t) + sin^{3} (t))

- 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

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)) = - 3 cos^{2} (t) sin (t)

\frac{d}{d t} (sin^{3} (t)) = 3 sin^{2} (t) cos (t)

= - 3 cos^{2} (t) sin (t) + 3 sin^{2} (t) cos (t)

What is the d/(dt)(cos^3(t)+sin^3(t)) ?
The d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)
What is the first d/(dt)(cos^3(t)+sin^3(t)) ?
The first d/(dt)(cos^3(t)+sin^3(t)) is -3cos^2(t)sin(t)+3sin^2(t)cos(t)