Directions: Find the fourth-order derivative.

Question

1.) f''(x)=7x^5/2, f(^iv)(x)

2.) f''(x)=8x^7/5, f(^iv)(x)

Answer 1

basic rule for single term powers

multiply the exponent by the coefficient, keep the base, reduce the exponent by 1

so if
f '' (x) = 7x^(5/2)
f '''(x) = (35/2)x^(3/2)
do it once more

do the same for the second question