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Popular >

derivative of arcsin(6x^4)

Solution

derivative of

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}}

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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))