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Popular >

derivative of arccos(4x^9)

Solution

derivative of

arccos (4 x^{9})

Solution

- \frac{36 x ^{8}}{1 - 16 x ^{18}}

Solution steps

\frac{d}{d x} (arccos (4 x^{9}))

Apply the chain rule:

- \frac{1}{1 - ( 4 x ^{9} ) ^{2}} \frac{d}{d x} (4 x^{9})

= - \frac{1}{1 - ( 4 x ^{9} ) ^{2}} \frac{d}{d x} (4 x^{9})

\frac{d}{d x} (4 x^{9}) = 36 x^{8}

= - \frac{1}{1 - ( 4 x ^{9} ) ^{2}} \cdot 36 x^{8}

Simplify

- \frac{1}{1 - ( 4 x ^{9} ) ^{2}} \cdot 36 x^{8} : - \frac{36 x ^{8}}{1 - 16 x ^{18}}

= - \frac{36 x ^{8}}{1 - 16 x ^{18}}

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Frequently Asked Questions (FAQ)

What is the derivative of arccos(4x^9) ?
The derivative of arccos(4x^9) is -(36x^8)/(sqrt(1-16x^{18))}
What is the first derivative of arccos(4x^9) ?
The first derivative of arccos(4x^9) is -(36x^8)/(sqrt(1-16x^{18))}