What is the derivative of 3cos^4(x) ?

The derivative of 3cos^4(x) is -12cos^3(x)sin(x)

What is the first derivative of 3cos^4(x) ?

The first derivative of 3cos^4(x) is -12cos^3(x)sin(x)

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\frac{d}{d x} (3 cos^{4} (x))

- 12 cos^{3} (x) sin (x)

Solution steps

\frac{d}{d x} (3 cos^{4} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (cos^{4} (x))

Apply the chain rule:

4 (cos (x))^{3} \frac{d}{d x} (cos (x))

= 4 (cos (x))^{3} \frac{d}{d x} (cos (x))

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

= 3 \cdot 4 (cos (x))^{3} (- sin (x))

Simplify

= - 12 cos^{3} (x) sin (x)

(2, 8), y = 2 x^{2}

\frac{d}{d x} (r (t, x) cos (t))

x \to 0 lim (\frac{1 - cos ( 4 x )}{x tan ( 3 x )})

\frac{\partial}{\partial x} (- 2 e^{- 7 x y})

\int - \frac{1}{cos ( x )} d x

What is the derivative of 3cos^4(x) ?
The derivative of 3cos^4(x) is -12cos^3(x)sin(x)
What is the first derivative of 3cos^4(x) ?
The first derivative of 3cos^4(x) is -12cos^3(x)sin(x)