Find the derivative of y with respect to x, t, or θ, as appropriate.

y = ln (4θe-θ)

a. eθ
b. - 1
c.
d. ln (4e-θ(1-θ))

sec2 4x dx

a. 10(e3 - e)
b. 20
c. 10
d. -10

a. ln 2
b. -2
c. ln
d. 0

Find the derivative of y with respect to x.

y = sec-1

a.
b.
c.
d.

ind the derivative.

a.
b.
c.
d.

a. -2 + C
b. ex sin-1 (ex) + C
c. sin-1 (ex) + C

29.

(Points: 4) Solve the logarithmic equation. Be sure to reject any value of x that produces the logarithm of a negative number or the logarithm of 0.

log4(x + 3) + log4(x - 3) = 2

a. {-5}
b. {6}
c. {5}
d. {5, -5}

2. log4(x + 3) + log4(x - 3) = 2

a. {-5}
b. {6}
c. {5}
d. {5, -5}
$log_{4}((x+3)(x-3))=2$
$(x+3)(x-3)=16$