What is the derivative of x-cos(5y) ?

The derivative of x-cos(5y) is 1+5sin(5y)(dy)/(dx)

What is the first derivative of x-cos(5y) ?

The first derivative of x-cos(5y) is 1+5sin(5y)(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 (5 y))

1 + 5 sin (5 y) \frac{d y}{d x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d x}{d x} - \frac{d}{d x} (cos (5 y))

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

\frac{d}{d x} (cos (5 y)) = - sin (5 y) \cdot 5 \frac{d y}{d x}

= 1 - (- sin (5 y) \cdot 5 \frac{d y}{d x})

Simplify

= 1 + 5 sin (5 y) \frac{d y}{d x}

\int \frac{5}{x ( x ^{2} + 3 ) ^{2}} d x

\frac{d}{d x} (0.5 x^{3} - 0.2 x + 1)

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

\int \frac{28 x ^{3} - 56 x ^{2} + 5}{x ^{2} - 2 x} d x

\frac{d}{d x} (5 x - \frac{3}{x})

What is the derivative of x-cos(5y) ?
The derivative of x-cos(5y) is 1+5sin(5y)(dy)/(dx)
What is the first derivative of x-cos(5y) ?
The first derivative of x-cos(5y) is 1+5sin(5y)(dy)/(dx)