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Popular >

derivative of arcsin(2x^5)

Solution

\frac{d}{d x} (arcsin (2 x^{5}))

Solution

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

Solution steps

\frac{d}{d x} (arcsin (2 x^{5}))

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{5}) = 10 x^{4}

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

Simplify

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

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

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\frac{d}{d x} ((5 x^{3} + 5) (x^{4} - 3 x))

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\int [cos (4 x) + cos (8 x)]^{2} d x

derivative of 12x^{1/3}

\frac{d}{d x} (12 x^{\frac{1}{3}})

(dy)/(dx)= 1/(3x^2y^2)

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Frequently Asked Questions (FAQ)

What is the derivative of arcsin(2x^5) ?
The derivative of arcsin(2x^5) is (10x^4)/(sqrt(1-4x^{10))}
What is the first derivative of arcsin(2x^5) ?
The first derivative of arcsin(2x^5) is (10x^4)/(sqrt(1-4x^{10))}