en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of tan(arcsin(x))

Solution

\frac{d}{d x} (tan (arcsin (x)))

Solution

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

Solution steps

\frac{d}{d x} (tan (arcsin (x)))

Apply the chain rule:

sec^{2} (arcsin (x)) \frac{d}{d x} (arcsin (x))

= sec^{2} (arcsin (x)) \frac{d}{d x} (arcsin (x))

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

= sec^{2} (arcsin (x)) \frac{1}{1 - x ^{2}}

Simplify

sec^{2} (arcsin (x)) \frac{1}{1 - x ^{2}} : \frac{1}{( 1 - x ^{2} ) ^{\frac{3}{2}}}

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

Graph

Popular Examples

integral of ((5x-12))/(x^3-6x^2+8x)

\int \frac{( 5 x - 12 )}{x ^{3} - 6 x ^{2} + 8 x} d x

limit as x approaches 1-of 3/(x^3-1)

x \to 1 - lim (\frac{3}{x ^{3} - 1})

xy^'+y=6xy^2,y(1)=-8

x y^{^{'}} + y = 6 x y^{2}, y (1) = - 8

(xy^2+3y^2)dy-2xdx=0

(x y^{2} + 3 y^{2}) d y - 2 x d x = 0

slope of (4,1),(7,10)

s l o p e (4, 1), (7, 10)

Frequently Asked Questions (FAQ)

What is the derivative of tan(arcsin(x)) ?
The derivative of tan(arcsin(x)) is 1/((1-x^2)^{3/2)}
What is the first derivative of tan(arcsin(x)) ?
The first derivative of tan(arcsin(x)) is 1/((1-x^2)^{3/2)}