Find f '(x) for f of x equals the square root of the quantity sine of 8 times x.
f prime of x equals the quotient of the cosine of 8 times x and 2 times the square root of the quantity sine of 8 times x
f prime of x equals the quotient of 4 times the cosine of 8 times x and the square root of the quantity sine of 8 times x
f prime of x equals the quotient of 4 and the square root of the quantity sine of 8 times x
f'(x) = sin(4x)
see attached for problem and answers.