Question

If f(x)=5x arcsin(x), find f'(x) and f'(0.5). I'm lost on these problems...thanks!

Answer 1

Can you find the derivative?

Answer 2

that's what I'm trying to find...having trouble

Answer 3

5[1(1/square root of 1-xsquared)] ?

Answer 4

The derivative of arcsin is 1/sqrt(1-x^2). Use product rule to expand and then substitute.

Answer 5

so i have that right...

Answer 6

I thought the answer was 5/sqrt(1-x^2)...but apparently not.

Answer 7

No... derivative of 5xarcsin(x)... use product rule.

5(x*D(arcsin(x))+arcsin(x)). We know the derivative of arcsin(x), D(arcsin(x)), so just substitute.