Question

derivative tan^-1(x/2)

Answer 1

You know how to use the chain rule?

Answer 2

Yes

Answer 3

Do you know the derivative for tan^-1(x)?

Answer 4

1/1+x^2

Answer 5

Just put x/2 into x's place and use the chain rule. Can you do it?

Answer 6

Not sure how to apply chain rule to (x/2)^2

Answer 7

\[\frac{ 1 }{ 1+(\frac{ x }{ 2 })^{2} }.\frac{ d }{ dx }(\frac{ 1 }{ 2 }x)\]

Answer 8

Alternatively, you can use drawings and implicit differentiation to determine the derivative, but knowing the formulas and rules is quicker.