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# Find the derivative of log (arccos (x-1/2))

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 (arccos (x2))-2

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 arctan ((1+x)/(1-x))

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 arccos (1-x2)1/2

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 arcsin(sin x – cos x)

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 arctan (x+(1+x2)1/2)

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 arctan (tan2 x)

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 arcsin ((1-x2)/(1+x2))

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 arctan x + (1/3) arctan (x3)

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 x1/2 – arctan (x1/2)

Find the derivative of the function Using the formula for the derivative of arctangent and the chain rule we have This is valid for .