en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sin(4sqrt(1-2x^3))

Solution

\frac{d}{d x} (sin (4 1 - 2 x^{3}))

Solution

- \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

Solution steps

\frac{d}{d x} (sin (4 1 - 2 x^{3}))

Apply the chain rule:

cos (4 1 - 2 x^{3}) \frac{d}{d x} (4 1 - 2 x^{3})

= cos (4 1 - 2 x^{3}) \frac{d}{d x} (4 1 - 2 x^{3})

\frac{d}{d x} (4 1 - 2 x^{3}) = - \frac{12 x ^{2}}{1 - 2 x ^{3}}

= cos (4 1 - 2 x^{3}) (- \frac{12 x ^{2}}{1 - 2 x ^{3}})

Simplify

cos (4 1 - 2 x^{3}) (- \frac{12 x ^{2}}{1 - 2 x ^{3}}) : - \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

= - \frac{12 x ^{2} cos ( 4 1 - 2 x ^{3} )}{1 - 2 x ^{3}}

Graph

Popular Examples

integral of ((ln(x)))/x

\int \frac{( ln ( x ) )}{x} d x

integral of 1/((x+2)^2(x-1))

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

limit as x approaches 0 of (arcsin(3x))/x

x \to 0 lim (\frac{arcsin ( 3 x )}{x})

derivative of x^{1/2}(2x^{1/2}-1)derivative of

x^{\frac{1}{2}} (2 x^{\frac{1}{2}} - 1)

area-1/5 x^2-6/5 x+7/5 ,[-5,5]area

- \frac{1}{5} x^{2} - \frac{6}{5} x + \frac{7}{5}, [- 5, 5]

Frequently Asked Questions (FAQ)

What is the derivative of sin(4sqrt(1-2x^3)) ?
The derivative of sin(4sqrt(1-2x^3)) is -(12x^2cos(4sqrt(1-2x^3)))/(sqrt(1-2x^3))
What is the first derivative of sin(4sqrt(1-2x^3)) ?
The first derivative of sin(4sqrt(1-2x^3)) is -(12x^2cos(4sqrt(1-2x^3)))/(sqrt(1-2x^3))