Question

Find the derivative of y = 14^sin(3x)

Answer 1

take logs

ln y = sin(3x)* ln 14
1/y * dy/dx = ln14* 3 sin3x
dy/dx = y * ln14 3sin3x
= 14^sin(3x)* ln 14 * 3 sin (3x)

Answer 2

:/ my quiz hw, says its wrong, idk what to do

Answer 3

what does it say the answer is?

Answer 4

oh right - sorry - its 3 cos 3x at the end

Answer 5

Idk, I have one try left, you get three trys until its wrong

Answer 6

the derivative of sin 3x by chain rule is 3 cos3x not 3 sin3x

Answer 7

so what would that make it 14^sin(3x)*ln14*3cos(3x)

Answer 8

yea
- but ill check it out with wolfram first
wait a sec

Answer 9

okay (:

Answer 10

it gave me a weird answer when i did it and i tried it and it said it was wrong

Answer 11

wolfram gets same as me but writes it in different order:

3 ln 14 14^sin(3x) cos (3x)

Answer 12

you can be sure thats correct

Answer 13

http://www.wolframalpha.com/input/?i=differentiate+14%5E%28sin+3x%29
- it uses log instead of ln but its same thing

Answer 14

Yay, It's right, thank you so much!

Answer 15

okay, I got another, What is the answer to this: calculate g'(−2), where g is the inverse of f(x) = 4x^3 - 2x

Answer 16

or what do you get?

Answer 17

finding the inverse of that is beyond me - it would be a very complicated expression
- unless there is a shortcut - thats beyond me too im afraid

Answer 18

lol alright, thanks for the help though (: