What is the derivative of cos^2(t) ?

The derivative of cos^2(t) is -sin(2t)

What is the first derivative of cos^2(t) ?

The first derivative of cos^2(t) is -sin(2t)

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derivative of

cos^{2} (t)

- sin (2 t)

Solution steps

\frac{d}{d t} (cos^{2} (t))

Apply the chain rule:

2 cos (t) \frac{d}{d t} (cos (t))

= 2 cos (t) \frac{d}{d t} (cos (t))

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

= 2 cos (t) (- sin (t))

Simplify

2 cos (t) (- sin (t)) : - sin (2 t)

= - sin (2 t)

tan^{6} (x)

h \to 0 lim (cos (\frac{3}{h}))

\int 6 θ sec^{2} (θ) d θ

\int t^{6} d t

f (x) = \frac{sin ( \frac{1}{x} ) \cdot x ^{3}}{ln ( x )}

What is the derivative of cos^2(t) ?
The derivative of cos^2(t) is -sin(2t)
What is the first derivative of cos^2(t) ?
The first derivative of cos^2(t) is -sin(2t)