Find the derivative of 1/8tan^(-1)(x/8) & (x/2)(sqrt(64-x^2) + 32sin^(-1)(x/8)?

Answer 1

The standard derivative for tan^-1(x) is 1/(1+x²).
Can you work with that and apply the chain rule to find the derivative of
(1/8)tan^-1(x/8)

The second problem is a combination of the product rule and the sum rule.
The derivative for asin(x) is 1/sqrt(1-x²)
Try to simplify and separate into smaller manageable pieces and then do the differentiation.