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Popular >

derivative of arcsin(x^5)

Solution

derivative of

arcsin (x^{5})

Solution

\frac{5 x ^{4}}{1 - x ^{10}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{5 x ^{4}}{1 - x ^{10}}

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x \to 0 + lim (e^{x l n (x)})

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\int \frac{3 x ^{2} - 10 x - 8}{x - 3} d x

Frequently Asked Questions (FAQ)

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