Find the derivative of the function

Using the chain rule and the formulas for the derivative of the logarithm and the arccosine we have,

The formula is valid for .

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Stumbling Robot

A Fraction of a Dot
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Tag: Derivatives

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Find the derivative of *log (arccos (x*^{-1/2}))

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Find the derivative of *(arccos (x*^{2}))^{-2}

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Find the derivative of *arctan ((1+x)/(1-x))*

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Find the derivative of *arccos (1-x*^{2})^{1/2}

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Find the derivative of *arcsin(sin x – cos x)*

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Find the derivative of *arctan (x+(1+x*^{2})^{1/2})

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Find the derivative of *arctan (tan*^{2} x)

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Find the derivative of *arcsin ((1-x*^{2})/(1+x^{2}))

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Find the derivative of *arctan x + (1/3) arctan (x*^{3})

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Find the derivative of *x*^{1/2} – arctan (x^{1/2})

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Find the derivative of the function

Using the chain rule and the formulas for the derivative of the logarithm and the arccosine we have,

The formula is valid for .

Find the derivative of the function

Here we use the power rule, the chain rule, and the formula for the derivative of the arccosine,

The formula is valid for .

Find the derivative of the function

Using the chain rule and the formula for the derivative of arctangent we have

This is valid for .

Find the derivative of the function

To compute the derivative we use the chain rule and the formula for the derivative of arccosine,

This formula is valid for .

Find the derivative of the function

Using the formula for the derivative of the arcsine and the chain rule we have

This is valid for all such that .

Find the derivative of the function

Using the formula for the derivative of arctangent and the chain rule we compute this,

This is valid for all .

Find the derivative of the function

Using the formula for the derivative of the tangent and arctangent we compute,

This formula is valid everywhere is defined (i.e., everywhere ).

Find the derivative of the function

Using the formula for the derivative of arcsine and the chain rule we have,

This is valid for .

Find the derivative of the function

Using the formula for the derivative of arctangent and the chain rule we compute,

This is valid for all .

Find the derivative of the function

Using the formula for the derivative of arctangent and the chain rule we have

This is valid for .