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monroe17
 2 years ago
derivative
y=(2)^(5x+3)
monroe17
 2 years ago
derivative y=(2)^(5x+3)

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monroe17
 2 years ago
Best ResponseYou've already chosen the best response.1I'm not sure.. I need help like step by step through it too btw.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1yes, do u know what is chain rule ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1thats correct. now, \(\huge \frac{d}{dx}a^x=a^x\ln a\) so what will be derivative of 2^(5x+3) =?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1let 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
 2 years ago
Best ResponseYou've already chosen the best response.1\(y'=2^{5x+3}(\ln2)(5x+3)'=? \)

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1absolutely correct! thats your final answer....

monroe17
 2 years ago
Best ResponseYou've already chosen the best response.1yeah :) it makes more sense now!
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