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Popular >

derivative of y=arcsin(x^4)

Solution

derivative of

y = arcsin (x^{4})

Solution

\frac{4 x ^{3}}{1 - x ^{8}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{4 x ^{3}}{1 - x ^{8}}

Popular Examples

(\partial)/(\partial x)(1/((1+x)))

\frac{\partial}{\partial x} (\frac{1}{( 1 + x )})

derivative of (x^2-3x+1)sqrt(25-x^2)derivative of

(x^{2} - 3 x + 1) 25 - x^{2}

limit as x approaches 1 of 7e^{x-1}

x \to 1 lim (7 e^{x - 1})

integral of (2-2x)

\int (2 - 2 x) d x

(\partial)/(\partial x)(2x^3)

\frac{\partial}{\partial x} (2 x^{3})

Frequently Asked Questions (FAQ)

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