Question

Find derivative. f(x)=sin(x + x^1/2)

Answer 1

(1/2)*cos(x+x^(1/2))
cos is the derivative of sin, and because of the chain rule, you must take the derivative of the inside (x+x^1/2) and multiply it to cos.

Answer 2

oops! here's the right answer: [(1/2)x^(-1/2)]*cos(x+x^(1/2))
the above explanation still still correct.

Answer 3

\[{d \over{dx}} \sin(x + \sqrt{x}) = \cos(x + \sqrt{x}) * (1 + {1 \over {2\sqrt{x}}})\]

Answer 4

Janie you forgot to derive the x, hence you forgot the +1