differentiate?

Question

a. y=ln[cos (5x)] + ln 7
b. y= e^3x^2\x^2 + 25
c. p= (2q-5)^3(square root of (4q+1)
d. w=s^3 (tan(3s+1))

please try to show as much work as possible because i'm so lost.

Answer 1

a) Use the identity for natural log and the chain rule

for example....
y' = -sin(5x)(5)/cos(5x) + 0/7
y' = -5sin(5x)/cos(5x)

b) Use the identify for the exponents and power rules
c) Use the power rule and the chain rule
d) Use the power rule and the chain rule