What is the derivative of 2-cos^3(x) ?

The derivative of 2-cos^3(x) is 3cos^2(x)sin(x)

What is the first derivative of 2-cos^3(x) ?

The first derivative of 2-cos^3(x) is 3cos^2(x)sin(x)

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derivative of

2 - cos^{3} (x)

3 cos^{2} (x) sin (x)

Solution steps

\frac{d}{d x} (2 - cos^{3} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (cos^{3} (x))

\frac{d}{d x} (2) = 0

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

= 0 - (- 3 cos^{2} (x) sin (x))

Simplify

= 3 cos^{2} (x) sin (x)

60 q - 2 q^{2}

\frac{- 1}{y}

\frac{d}{d t} (3.5 t^{2} + 41 t + 9)

\frac{x ^{- 1}}{2}

2 tan (x) - 7 sec (x)

What is the derivative of 2-cos^3(x) ?
The derivative of 2-cos^3(x) is 3cos^2(x)sin(x)
What is the first derivative of 2-cos^3(x) ?
The first derivative of 2-cos^3(x) is 3cos^2(x)sin(x)