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

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

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

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

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derivative of

cos^{2} (z)

- sin (2 z)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 cos (z) (- sin (z))

Simplify

2 cos (z) (- sin (z)) : - sin (2 z)

= - sin (2 z)

\int 7 x^{5} e^{- x^{3}} d x

\int x (y) d x

\frac{d}{d x} (x^{4} ln (x) - \frac{1}{3} x^{3})

x^{2} - x, x

G (t) = 5 t + \frac{7}{t}

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