What is the derivative of 5x^2cos(xcot(x)) ?

The derivative of 5x^2cos(xcot(x)) is 5(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

What is the first derivative of 5x^2cos(xcot(x)) ?

The first derivative of 5x^2cos(xcot(x)) is 5(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

5 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = cos (x) cot (x)

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

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

\frac{d}{d x} (cos (x) cot (x)) = - cos (x) - cot (x) csc (x)

= 5 (2 x cos (x) cot (x) + (- cos (x) - cot (x) csc (x)) x^{2})

3 e^{- t}

s \to \frac{2}{3} lim (3 s (2 s - 1))

\int \frac{9}{64 + 4 r ^{2}} d r

\frac{d}{d x} (9 x^{3} - 7 x)

\frac{d}{d x} ((x^{3} + 3)^{5})

What is the derivative of 5x^2cos(xcot(x)) ?
The derivative of 5x^2cos(xcot(x)) is 5(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)
What is the first derivative of 5x^2cos(xcot(x)) ?
The first derivative of 5x^2cos(xcot(x)) is 5(2xcos(x)cot(x)+(-cos(x)-cot(x)csc(x))x^2)