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Popular >

derivative of arcsin({f}(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

Simplify

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

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

Popular Examples

integral of sqrt(tan(4x))(sec(4x))^2

\int tan (4 x) (sec (4 x))^{2} d x

inverse oflaplace ((s^2-1))/((s^2+1)^2)inverse laplace

\frac{( s ^{2} - 1 )}{( s ^{2} + 1 ) ^{2}}

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

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

laplacetransform \delta(t-1)laplace transform

δ (t - 1)

integral from 0 to pi of cos(x+pi)

\int_{0}^{π} cos (x + π) d x

Frequently Asked Questions (FAQ)

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