- #1

DBeckett91

- 6

- 0

For all of these equations I need to differentiate with respect to the variable and give the final simplified answers.

Equation 1: y = 8sin(125t)e^-7t

The value of t is unknown

The rule I was using is u(dv/dx) + v(du/dx)

y=8sin(125t)e^-7t

u = 8sin(125t)

v = e^-7t

Answer = 8sin(125t) (7e^-7t/dx) + 7e^-7t(8sin(125t)/dx)

Equation 2: s = (8x^2-7x +125)/8x+7

The rule I used was (v(du/dx) - u(dv/dx)/v^2)

s = (8x^2-7x +125)/8x+7

u = 8x^2-7x +125

= 16x - 7

v = 8x + 7

= 8

ds/dx = (8(16x-7/dx) - 16x-7(8/dx))/64