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Popular >

derivative of arcsin(4x^5)

Solution

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

Solution

\frac{20 x ^{4}}{1 - 16 x ^{10}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{5}) = 20 x^{4}

= \frac{1}{1 - ( 4 x ^{5} ) ^{2}} \cdot 20 x^{4}

Simplify

\frac{1}{1 - ( 4 x ^{5} ) ^{2}} \cdot 20 x^{4} : \frac{20 x ^{4}}{1 - 16 x ^{10}}

= \frac{20 x ^{4}}{1 - 16 x ^{10}}

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\frac{d y}{d x}, 9 sin (x) + cos (y) = sin (x) cos (y)

integral from 0 to 1 of xe^{10x}

\int_{0}^{1} x e^{10 x} d x

y^{''}-4y^'+2y=e^{-t},y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 1

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slope of (-10,8),(-15,-7)slope

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Frequently Asked Questions (FAQ)

What is the derivative of arcsin(4x^5) ?
The derivative of arcsin(4x^5) is (20x^4)/(sqrt(1-16x^{10))}
What is the first derivative of arcsin(4x^5) ?
The first derivative of arcsin(4x^5) is (20x^4)/(sqrt(1-16x^{10))}