Question

What is the first derivative of

L(x) = ((4+x^2)^0.5) + ((25 + (10-x)^2)^0.5)

Answer 1

L ' (x) = (1/2)(4 + x^2)^(-1/2) (2x) + (1/2)(25 + (10-x)^2 )^(-1/2) ( 2(10-x)(-1) )

I will let you simplify it a bit.