Question

find the derivative of y=4√x-2​

Answer 1

Answer:

2

√

x

Explanation:

Differentiate using the  

power rule

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

d

d

x

(

a

x

n

)

=

n

a

x

n

−

1

a

a

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−  

Express  

4

√

x

as  

4

x

1

2

Thus y =  

4

x

1

2

⇒

d

y

d

x

=

1

2

×

4

x

1

2

−

1

=

2

x

−

1

2

=

2

√

x

Step-by-step explanation:

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