answersLogoWhite

0

95x?

d/dx(au)=au*ln(a)*d/dx(u)

d/dx(95x)=95x*ln(9)*d/dx(5x)

-The derivative of 5x is:

d/dx(cu)=c*du/dx where c is a constant

d/dx(5x)=5*d/dx(x)

d/dx(95x)=95x*ln(9)*(5*d/dx(x))

-The derivative of x is:

d/dx(x)=1x1-1

d/dx(x)=1*x0

d/dx(x)=1*(1)

d/dx(x)=1

d/dx(95x)=95x*ln(9)*(5*1)

d/dx(95x)=95x*ln(9)*(5)

-95x can simplify to (95)x, which equals 59049x.

-ln(9) can simplify to ln(32), so you can take out the exponent to have 2ln(3).

d/dx(95x)=59049x*2ln(3)*(5)

d/dx(95x)=10*59049x*ln(3)

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
RossRoss
Every question is just a happy little opportunity.
Chat with Ross
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve

Add your answer:

Earn +20 pts
Q: How do you find the derivative of 9 to the 5x?
Write your answer...
Submit
Still have questions?
magnify glass
imp