monroe17
derivative
y=(2)^(5x+3)
Delete
Share
This Question is Closed
hartnn
Best Response
You've already chosen the best response.
1
can you derivate a^x ?
monroe17
Best Response
You've already chosen the best response.
1
I'm not sure.. I need help like step by step through it too btw.
hartnn
Best Response
You've already chosen the best response.
1
yes, do u know what is chain rule ?
monroe17
Best Response
You've already chosen the best response.
1
yes.
A'(B)*B'
hartnn
Best Response
You've already chosen the best response.
1
thats correct.
now, \(\huge \frac{d}{dx}a^x=a^x\ln a\)
so what will be derivative of 2^(5x+3) =?
monroe17
Best Response
You've already chosen the best response.
1
2^(5x+3)*ln(2)
hartnn
Best Response
You've already chosen the best response.
1
let me give you 1st step,
\(y=2^{5x+3} \\ \text{differentiate both sides w.r.t x} \\ y'=2^{5x+3}\ln2(5x+3)' \quad \text{using chain rule, got this ?}\)
hartnn
Best Response
You've already chosen the best response.
1
\(y'=2^{5x+3}(\ln2)(5x+3)'=?
\)
monroe17
Best Response
You've already chosen the best response.
1
5ln(2)(2)^(5x+3)
hartnn
Best Response
You've already chosen the best response.
1
absolutely correct! thats your final answer....
hartnn
Best Response
You've already chosen the best response.
1
did u understand ?
monroe17
Best Response
You've already chosen the best response.
1
oh thanks! ;D
monroe17
Best Response
You've already chosen the best response.
1
yeah :) it makes more sense now!
hartnn
Best Response
You've already chosen the best response.
1
welcome ^_^