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Popular >

derivative of arccos({f}(x))

Solution

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

Solution

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

Solution steps

\frac{d}{d x} (arccos (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

derivative of-2asin(2x+bcos(2x)*2)

\frac{d}{d x} (- 2 a sin (2 x) + b cos (2 x) \cdot 2)

limit as x approaches 0+of (l(x))/(x^3)

x \to 0 + lim (\frac{l ( x )}{x ^{3}})

limit as x approaches 8 of 4/((x-8)^2)

x \to 8 lim (\frac{4}{( x - 8 ) ^{2}})

derivative of cos^3(x+sin^4(x))

\frac{d}{d x} (cos^{3} (x) + sin^{4} (x))

(\partial)/(\partial x)(8ln(cos(x)))

\frac{\partial}{\partial x} (8 ln (cos (x)))

Frequently Asked Questions (FAQ)

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