Question

derivative

y=(2)^(5x+3)

Answer 1

can you derivate a^x ?

Answer 2

I'm not sure.. I need help like step by step through it too btw.

Answer 3

yes, do u know what is chain rule ?

Answer 4

yes.
A'(B)*B'

Answer 5

thats correct.
now, \(\huge \frac{d}{dx}a^x=a^x\ln a\)
so what will be derivative of 2^(5x+3) =?

Answer 6

2^(5x+3)*ln(2)

Answer 7

let me give you 1st step,
\(y=2^{5x+3} \\ \text{differentiate both sides w.r.t x} \\ y'=2^{5x+3}\ln2(5x+3)' \quad \text{using chain rule, got this ?}\)

Answer 8

\(y'=2^{5x+3}(\ln2)(5x+3)'=?
\)

Answer 9

5ln(2)(2)^(5x+3)

Answer 10

absolutely correct! thats your final answer....

Answer 11

did u understand ?

Answer 12

oh thanks! ;D

Answer 13

yeah :) it makes more sense now!

Answer 14

welcome ^_^