Question

y = 15^(8x-x^2)
what is the derivative?

Answer 1

ln(y) = (8x-x^2)*ln5

Answer 2

differentiate both sides implicitly:
(1/y)(dy/dx) = (ln5)*(8-2x)

Answer 3

Multiply both sides by y:
dy/dx = (ln15)*(8-2x)*y.. by the way i had typos, both of those ln5s above should be ln15

Answer 4

dy/dx = ln(15)(8-2x)(15^(8x-x^2))

Answer 5

Thanks man you're the best!

Answer 6

np