What is the derivative of y=sqrt(5-3x^2) ?

The derivative of y=sqrt(5-3x^2) is -(3x)/(sqrt(5-3x^2))

What is the first derivative of y=sqrt(5-3x^2) ?

The first derivative of y=sqrt(5-3x^2) is -(3x)/(sqrt(5-3x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 5 - 3 x^{2}

- \frac{3 x}{5 - 3 x ^{2}}

Solution steps

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

Apply the chain rule:

\frac{1}{2 5 - 3 x ^{2}} \frac{d}{d x} (5 - 3 x^{2})

= \frac{1}{2 5 - 3 x ^{2}} \frac{d}{d x} (5 - 3 x^{2})

\frac{d}{d x} (5 - 3 x^{2}) = - 6 x

= \frac{1}{2 5 - 3 x ^{2}} (- 6 x)

Simplify

\frac{1}{2 5 - 3 x ^{2}} (- 6 x) : - \frac{3 x}{5 - 3 x ^{2}}

= - \frac{3 x}{5 - 3 x ^{2}}

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (k x)

\int sec (2 x) tan (2 x) - \frac{4}{x ^{2}} d x

\int (cos (y)) d y

(- 3, 5), (7, - 9)

\frac{8}{1 - x}

What is the derivative of y=sqrt(5-3x^2) ?
The derivative of y=sqrt(5-3x^2) is -(3x)/(sqrt(5-3x^2))
What is the first derivative of y=sqrt(5-3x^2) ?
The first derivative of y=sqrt(5-3x^2) is -(3x)/(sqrt(5-3x^2))