Find g'(x) for the given function. g(x)=sqrt(2x)

crazygbyo

crazygbyo

Answered question

2022-08-05

Find g'(x) for the given function.
g ( x ) = 2 x

Answer & Explanation

pokajalaq1

pokajalaq1

Beginner2022-08-06Added 18 answers

g ( x ) = 2 x
g(x) can be rewritten to g ( x ) = ( 2 x ) 1 2 to make it easier to differentiate.
Use the General power rule which is d d x [ u n ] = n u n 1 u
So, g ( x ) = 1 2 ( 2 x ) 1 / 2 2 = ( 2 x ) 1 / 2 = 1 ( 2 x ) 1 / 2 = 1 2 x
Passafaromx

Passafaromx

Beginner2022-08-07Added 2 answers

g ( x ) = x  = x 1 2
using [ x n ] = n x n 1
g ( x ) = 1 2 x 1 2 f = 1 2 x

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