What is the derivative of cosh((4x^3/(x-2))) ?

The derivative of cosh((4x^3/(x-2))) is (4sinh(\frac{4x^3)/(x-2))(2x^3-6x^2)}{(x-2)^2}

What is the first derivative of cosh((4x^3/(x-2))) ?

The first derivative of cosh((4x^3/(x-2))) is (4sinh(\frac{4x^3)/(x-2))(2x^3-6x^2)}{(x-2)^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} (cosh (\frac{4 x ^{3}}{x - 2}))

\frac{4 sinh ( \frac{4 x ^{3}}{x - 2} ) ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{4 x ^{3}}{x - 2}) = \frac{4 ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

= sinh (\frac{4 x ^{3}}{x - 2}) \frac{4 ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 sinh ( \frac{4 x ^{3}}{x - 2} ) ( 2 x ^{3} - 6 x ^{2} )}{( x - 2 ) ^{2}}

y = ln (ln (x^{32}))

\frac{d}{d t} (cos (t) (1 - sin (t)))

\int_{0}^{2} \frac{1}{x ^{4} + 1} d x

4 x e^{x^{2} - 1}

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

What is the derivative of cosh((4x^3/(x-2))) ?
The derivative of cosh((4x^3/(x-2))) is (4sinh(\frac{4x^3)/(x-2))(2x^3-6x^2)}{(x-2)^2}
What is the first derivative of cosh((4x^3/(x-2))) ?
The first derivative of cosh((4x^3/(x-2))) is (4sinh(\frac{4x^3)/(x-2))(2x^3-6x^2)}{(x-2)^2}