en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 5cos^2(x)

Solution

\frac{d}{d x} (5 cos^{2} (x))

Solution

- 5 sin (2 x)

Solution steps

\frac{d}{d x} (5 cos^{2} (x))

Take the constant out:

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

= 5 \frac{d}{d x} (cos^{2} (x))

Apply the chain rule:

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

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

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

= 5 \cdot 2 cos (x) (- sin (x))

Simplify

5 \cdot 2 cos (x) (- sin (x)) : - 5 sin (2 x)

= - 5 sin (2 x)

Popular Examples

tangent of f(x)=(2x-1)/(x+1),\at x=4 tangent of

f (x) = \frac{2 x - 1}{x + 1}, at x = 4

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

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

(\partial)/(\partial y)(7x^2+e^{2y})

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

integral of 4x(x^2+26000)^{-2/3}

\int 4 x (x^{2} + 26000)^{- \frac{2}{3}} d x

tangent of f(x)=(x-4)(3-x)^3 tangent of

f (x) = (x - 4) (3 - x)^{3}

Frequently Asked Questions (FAQ)

What is the derivative of 5cos^2(x) ?
The derivative of 5cos^2(x) is -5sin(2x)
What is the first derivative of 5cos^2(x) ?
The first derivative of 5cos^2(x) is -5sin(2x)