What is the derivative of xcos(2y) ?

The derivative of xcos(2y) is cos(2y)-2xsin(2y)(dy)/(dx)

What is the first derivative of xcos(2y) ?

The first derivative of xcos(2y) is cos(2y)-2xsin(2y)(dy)/(dx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

cos (2 y) - 2 x sin (2 y) \frac{d y}{d x}

Solution steps

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

Apply the Product Rule:

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

f = x, g = cos (2 y)

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

\frac{d x}{d x} = 1

\frac{d}{d x} (cos (2 y)) = - sin (2 y) \cdot 2 \frac{d y}{d x}

= 1 \cdot cos (2 y) + (- sin (2 y) \cdot 2 \frac{d y}{d x}) x

Simplify

= cos (2 y) - 2 x sin (2 y) \frac{d y}{d x}

x \to - 2 lim (\frac{6}{x ^{2} - 3 x - 10})

y^{^{'''}} - y^{^{'}} = x

\int \frac{4 x}{e ^{2 x}} d x

\int 24 x^{3} - 18 x^{2} + 8 x d x

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

What is the derivative of xcos(2y) ?
The derivative of xcos(2y) is cos(2y)-2xsin(2y)(dy)/(dx)
What is the first derivative of xcos(2y) ?
The first derivative of xcos(2y) is cos(2y)-2xsin(2y)(dy)/(dx)