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Popular >

derivative of sin(marcsin(x))

Solution

\frac{d}{d x} (sin (m arcsin (x)))

Solution

\frac{m cos ( m arcsin ( x ) )}{1 - x ^{2}}

Solution steps

\frac{d}{d x} (sin (m arcsin (x)))

Apply the chain rule:

cos (m arcsin (x)) \frac{d}{d x} (m arcsin (x))

= cos (m arcsin (x)) \frac{d}{d x} (m arcsin (x))

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

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

Multiply fractions:

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

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

Graph

Popular Examples

sum from n=1 to infinity of 3/(4+8^n)

n = 1 \sum \infty \frac{3}{4 + 8 ^{n}}

integral of sqrt(1-2x)

\int 1 - 2 x d x

integral of sin(x)+sinh(x)

\int sin (x) + sinh (x) d x

(dy)/(dx)=((10+15x))/(xy^2),y(1)=3

\frac{d y}{d x} = \frac{( 10 + 15 x )}{x y ^{2}}, y (1) = 3

(\partial)/(\partial x)(sqrt(x*y))

\frac{\partial}{\partial x} (x \cdot y)

Frequently Asked Questions (FAQ)

What is the derivative of sin(marcsin(x)) ?
The derivative of sin(marcsin(x)) is (mcos(marcsin(x)))/(sqrt(1-x^2))
What is the first derivative of sin(marcsin(x)) ?
The first derivative of sin(marcsin(x)) is (mcos(marcsin(x)))/(sqrt(1-x^2))