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Popular >

derivative of y=arccos(4x^4)

Solution

derivative of

y = arccos (4 x^{4})

Solution

- \frac{16 x ^{3}}{1 - 16 x ^{8}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

= - \frac{1}{1 - ( 4 x ^{4} ) ^{2}} \cdot 16 x^{3}

Simplify

- \frac{1}{1 - ( 4 x ^{4} ) ^{2}} \cdot 16 x^{3} : - \frac{16 x ^{3}}{1 - 16 x ^{8}}

= - \frac{16 x ^{3}}{1 - 16 x ^{8}}

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Frequently Asked Questions (FAQ)

What is the derivative of y=arccos(4x^4) ?
The derivative of y=arccos(4x^4) is -(16x^3)/(sqrt(1-16x^8))
What is the first derivative of y=arccos(4x^4) ?
The first derivative of y=arccos(4x^4) is -(16x^3)/(sqrt(1-16x^8))