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Popular >

derivative of arcsin(6x^4)

Solution

\frac{d}{d x} (arcsin (6 x^{4}))

Solution

\frac{24 x ^{3}}{1 - 36 x ^{8}}

Solution steps

\frac{d}{d x} (arcsin (6 x^{4}))

Apply the chain rule:

\frac{1}{1 - ( 6 x ^{4} ) ^{2}} \frac{d}{d x} (6 x^{4})

= \frac{1}{1 - ( 6 x ^{4} ) ^{2}} \frac{d}{d x} (6 x^{4})

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

= \frac{1}{1 - ( 6 x ^{4} ) ^{2}} \cdot 24 x^{3}

Simplify

\frac{1}{1 - ( 6 x ^{4} ) ^{2}} \cdot 24 x^{3} : \frac{24 x ^{3}}{1 - 36 x ^{8}}

= \frac{24 x ^{3}}{1 - 36 x ^{8}}

Graph

Popular Examples

derivative of (x^2/3+(5x)/7-8/5)

\frac{d}{d x} (\frac{x ^{2}}{3} + \frac{5 x}{7} - \frac{8}{5})

tangent of f(x)=5x^3,\at x=-2 tangent of

f (x) = 5 x^{3}, at x = - 2

(\partial)/(\partial x)(xarcsin(x)y)

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

integral from 0 to pi/2 of xsin(4x)

\int_{0}^{\frac{π}{2}} x sin (4 x) d x

limit as x approaches 5-of 5/((x-5)^3)

x \to 5 - lim (\frac{5}{( x - 5 ) ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(6x^4) ?
The derivative of arcsin(6x^4) is (24x^3)/(sqrt(1-36x^8))
What is the first derivative of arcsin(6x^4) ?
The first derivative of arcsin(6x^4) is (24x^3)/(sqrt(1-36x^8))