Thread: find derivative

find the derivative dy/dx

a) y=(x+1)/(x-1)

y'=1(x-1)^-1
...??

b) y=3/(x+2)

y'=3(x+2)^-1
...?

c) y=sqrt(3x+2)
y'=(3x+2)^(0.5)
..?

Originally Posted by skeske1234

find the derivative dy/dx

a) y=(x+1)/(x-1)

y'=1(x-1)^-1
...??

b) y=3/(x+2)

y'=3(x+2)^-1
...?

c) y=sqrt(3x+2)
y'=(3x+2)^(0.5)
..?

a)quotient rule
b)quotient rule
c)chain rule

Originally Posted by skeske1234

find the derivative dy/dx

a) y=(x+1)/(x-1)

y'=1(x-1)^-1
...??

use the quotient rule

b) y=3/(x+2)

y'=3(x+2)^-1
...?

correction ... , it's not y' yet ... you still need to use the power rule and take the derivative.

c) y=sqrt(3x+2)
y'=(3x+2)^(0.5)
...?

no ... , it's not y' yet ... use the chain rule.

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