What is the derivative of f(x)=(arcsin(5x+3))^3 ?

The derivative of f(x)=(arcsin(5x+3))^3 is (15arcsin^2(5x+3))/(sqrt(-25x^2-30x-8))

What is the first derivative of f(x)=(arcsin(5x+3))^3 ?

The first derivative of f(x)=(arcsin(5x+3))^3 is (15arcsin^2(5x+3))/(sqrt(-25x^2-30x-8))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (arcsin (5 x + 3))^{3}

\frac{15 arcsin ^{2} ( 5 x + 3 )}{- 25 x ^{2} - 30 x - 8}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (arcsin (5 x + 3)) = \frac{5}{- 25 x ^{2} - 30 x - 8}

= 3 (arcsin (5 x + 3))^{2} \frac{5}{- 25 x ^{2} - 30 x - 8}

Simplify

3 arcsin^{2} (5 x + 3) \frac{5}{- 25 x ^{2} - 30 x - 8} : \frac{15 arcsin ^{2} ( 5 x + 3 )}{- 25 x ^{2} - 30 x - 8}

= \frac{15 arcsin ^{2} ( 5 x + 3 )}{- 25 x ^{2} - 30 x - 8}

y^{^{''}} - y^{^{'}} - 2 y = x^{2}

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

\int \frac{ln ( x + 4 )}{x ^{2}} d x

\frac{d}{d x} (9 + 4 x)

\frac{\partial}{\partial x} (2 cos (x + 2 y))

What is the derivative of f(x)=(arcsin(5x+3))^3 ?
The derivative of f(x)=(arcsin(5x+3))^3 is (15arcsin^2(5x+3))/(sqrt(-25x^2-30x-8))
What is the first derivative of f(x)=(arcsin(5x+3))^3 ?
The first derivative of f(x)=(arcsin(5x+3))^3 is (15arcsin^2(5x+3))/(sqrt(-25x^2-30x-8))