Find dy/dx if:?

Question

(a) y=x^7
(b) y=x^-5
(c) y=x^3/4
(d) y=x
(e) y=6
(f) y=x^-9/5

Answer 1

a) 7x^6
b) -5x^-6
c) (3/4)x^(-1/4) (I assume the /4 is part of the exponent)
d) 1
e) 0
f) (-9/5)x^(-14/5)

Answer 2

(a) dy/dx = 7x^6
(b) dy/dx = -5x^(-6)
(c) dy/dx = (3x^(-.25))/3
(d) dy/dx = 1
(e) dy/dx = 0
(f) dy/dx = -(9x^(-14/5))/5)

And guess who's gonna bomb their next Calclueless test because they didn't have to figure out the rule for differentiation of x^n ?

Doug

Answer 3

(a) dy/dx = 7x^6
(b) dy/dx = (-5)x^(-6)
(c) dy/dx = 3/4 x^(-1/4)
(d) dy/dx = 1
(e) dy/dx = 0
(f) dy/dx = (-9/5)x^(-14/5)