Question

Help me with find dy/dx for the function :
y=(3x+6)^1/2

Answer 1

chain rule it is,
know whats chain rule ?

Answer 2

yes

Answer 3

so did u try this ?
whats your attempt ?

Answer 4

i know what chain rule is, but im not sure if this is a chain rule

Answer 5

take log on both sides ..and do diffrentiaton

Answer 6

u know whats the derivative of sqrt x ?

Answer 7

hartnn no
shkrina oookkayy, let me understand this first...

Answer 8

know the derivative of x^n ?

Answer 9

guys there r many ways to to do .. simple way sgoes by applying log ...

Answer 10

other way?

Answer 11

definition of simple is different for everyone ^_^

Answer 12

we are discussing 2 methods,
my chain rule method, and her log method

Answer 13

the chain rule...umm, the step solution?

Answer 14

for chain rule, you should be able to calculate the derivative of sqrt x...

Answer 15

or x^(1/2)
using the formula for x^n

Answer 16

(3x+6)^1/2 = (3x+6)^-2 is it wrong?

Answer 17

yes, its incorrect

Answer 18

(3x+6)^1/2 = ??

Answer 19

let 3x+6 = f(x)
so, \(\huge \dfrac{d}{dx}\sqrt{f(x)}=\dfrac{1}{2\sqrt{f(x)}}\dfrac{d}{dx}f(x)\)
this is chain rule, where i have used the fact that
d/dx (sqrt x) = 1/ 2sqrt x