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Popular >

derivative of arcsin(5x)

Solution

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

Solution

\frac{5}{1 - 25 x ^{2}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{1 - ( 5 x ) ^{2}} \cdot 5 : \frac{5}{1 - 25 x ^{2}}

= \frac{5}{1 - 25 x ^{2}}

Popular Examples

derivative of 3/5 x^{5/3}-3/4 x^{1/3}+9 derivative of

\frac{3}{5} x^{\frac{5}{3}} - \frac{3}{4} x^{\frac{1}{3}} + 9

limit as x approaches-2+of (1-x)/(x^3+8)

x \to - 2 + lim (\frac{1 - x}{x ^{3} + 8})

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x \to 1 - lim (\frac{2}{x - 1})

(\partial)/(\partial x)((3x^2+y)e^{xy^2})

\frac{\partial}{\partial x} ((3 x^{2} + y) e^{x y^{2}})

laplacetransform (e^{2t}-e^t+t)^2 laplace transform

(e^{2 t} - e^{t} + t)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of arcsin(5x) ?
The derivative of arcsin(5x) is 5/(sqrt(1-25x^2))
What is the first derivative of arcsin(5x) ?
The first derivative of arcsin(5x) is 5/(sqrt(1-25x^2))