What is the derivative of-3cos^{12}(x) ?

The derivative of-3cos^{12}(x) is 36cos^{11}(x)sin(x)

What is the first derivative of-3cos^{12}(x) ?

The first derivative of-3cos^{12}(x) is 36cos^{11}(x)sin(x)

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\frac{d}{d x} (- 3 cos^{12} (x))

36 cos^{11} (x) sin (x)

Solution steps

\frac{d}{d x} (- 3 cos^{12} (x))

Take the constant out:

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

= - 3 \frac{d}{d x} (cos^{12} (x))

Apply the chain rule:

12 (cos (x))^{11} \frac{d}{d x} (cos (x))

= 12 (cos (x))^{11} \frac{d}{d x} (cos (x))

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

= - 3 \cdot 12 (cos (x))^{11} (- sin (x))

Simplify

= 36 cos^{11} (x) sin (x)

\frac{d}{d x} (\frac{x ^{2} + 1}{2 x ^{2} - 3 x})

\int x \cdot cos (7 x) d x

\frac{d y}{d x}, x + y + x y = 21

\int a^{2} + x^{2} d x

What is the derivative of-3cos^{12}(x) ?
The derivative of-3cos^{12}(x) is 36cos^{11}(x)sin(x)
What is the first derivative of-3cos^{12}(x) ?
The first derivative of-3cos^{12}(x) is 36cos^{11}(x)sin(x)