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Popular >

derivative of arcsin(7x^5)

Solution

\frac{d}{d x} (arcsin (7 x^{5}))

Solution

\frac{35 x ^{4}}{1 - 49 x ^{10}}

Solution steps

\frac{d}{d x} (arcsin (7 x^{5}))

Apply the chain rule:

\frac{1}{1 - ( 7 x ^{5} ) ^{2}} \frac{d}{d x} (7 x^{5})

= \frac{1}{1 - ( 7 x ^{5} ) ^{2}} \frac{d}{d x} (7 x^{5})

\frac{d}{d x} (7 x^{5}) = 35 x^{4}

= \frac{1}{1 - ( 7 x ^{5} ) ^{2}} \cdot 35 x^{4}

Simplify

\frac{1}{1 - ( 7 x ^{5} ) ^{2}} \cdot 35 x^{4} : \frac{35 x ^{4}}{1 - 49 x ^{10}}

= \frac{35 x ^{4}}{1 - 49 x ^{10}}

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Frequently Asked Questions (FAQ)

What is the derivative of arcsin(7x^5) ?
The derivative of arcsin(7x^5) is (35x^4)/(sqrt(1-49x^{10))}
What is the first derivative of arcsin(7x^5) ?
The first derivative of arcsin(7x^5) is (35x^4)/(sqrt(1-49x^{10))}