# Math Help - help me differentiate?

1. ## help me differentiate?

anyone know the correct way to do this.........

g(x) = "4+x^2" -x/2 ?

(the part in inverted commas is meant to be square root of, sorry no idea how to bring up the right sign)

also not sure how to find the maximum value of g(x) on the interval 0<=x<=10

2. The chat room is NOT an appropriate forum to post this question in.

Originally Posted by Emmett
anyone know the correct way to do this.........

g(x) = "4+x^2" -x/2 ?

(the part in inverted commas is meant to be square root of, sorry no idea how to bring up the right sign)

also not sure how to find the maximum value of g(x) on the interval 0<=x<=10
Are you familiar with the chain rule? If so, use it to differentiate $\sqrt{4 + x^2}$.

The maximum value of g(x) on the interval $0 \leq x \leq 10$ will occur at either one of the endpoints or at a maximum turning point within the interval.

Do you know how to find the x-coordinate of a stationary point using calculus? Do you know how to test the nature of a stationary point? If so, do this. Does g(x) have a maximum turning point on the interval?

Find g(0) and g(10).

Therefore the largest value of g(x) is .......?