en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cos^2(3pix)

Solution

\frac{d}{d x} (cos^{2} (3 π x))

Solution

- 6 π cos (3 π x) sin (3 π x)

Solution steps

\frac{d}{d x} (cos^{2} (3 π x))

Apply the chain rule:

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

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

\frac{d}{d x} (cos (3 π x)) = - sin (3 π x) \cdot 3 π

= 2 cos (3 π x) (- sin (3 π x) \cdot 3 π)

Simplify

= - 6 π cos (3 π x) sin (3 π x)

Graph

Popular Examples

limit as x approaches-9-of (x+8)/(x+9)

x \to - 9 - lim (\frac{x + 8}{x + 9})

integral of ((x^2+1))/(x(x-1)^3)

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

integral of sec(sqrt(x)) 1/(sqrt(x))

\int sec (x) \frac{1}{x} d x

derivative of x/5-5/x

\frac{d}{d x} (\frac{x}{5} - \frac{5}{x})

(\partial)/(\partial p)(ln((p+q)/(q^2)))

\frac{\partial}{\partial p} (ln (\frac{p + q}{q ^{2}}))

Frequently Asked Questions (FAQ)

What is the derivative of cos^2(3pix) ?
The derivative of cos^2(3pix) is -6picos(3pix)sin(3pix)
What is the first derivative of cos^2(3pix) ?
The first derivative of cos^2(3pix) is -6picos(3pix)sin(3pix)