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

The derivative of 3cos^3(x) is -9cos^2(x)sin(x)

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

The first derivative of 3cos^3(x) is -9cos^2(x)sin(x)

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

- 9 cos^{2} (x) sin (x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= - 9 cos^{2} (x) sin (x)

\int (5 x - 2)^{7} d x

\frac{\partial}{\partial y} (\frac{y}{1 + x ^{2} y ^{2}})

\int_{π}^{2 π} x d x

\int \frac{- 1}{1 - ( 4 t + 1 ) ^{2}} d t

d er i v a t i v e e^{x^{2} - 1}

What is the derivative of 3cos^3(x) ?
The derivative of 3cos^3(x) is -9cos^2(x)sin(x)
What is the first derivative of 3cos^3(x) ?
The first derivative of 3cos^3(x) is -9cos^2(x)sin(x)