Question

If y^5+xy=2x-4, find dy/dx

Answer 1

ok why not? the derivative of
\[f^5(x)\] is
\[5f^4(x)\times f'(x)\] by the chain rule, meaning the derivative of
\[y^5\] is
\[5y^4y'\] as above

Answer 2

the derivative of
\[xf(x)\] is
\[f(x)+xf'(x)\] by the product rule, so the derivative of
\[xy\] is
\[y+xy'\] and so on

Answer 3

Confused again...

Answer 4

oh! Okay! I see...so how do i do the other half of the equation?

Answer 5

for the xy part, use product rule

Answer 6

1.y+xy'

Answer 7

for the right hand side
=2

Answer 8

if u combine all these u get
5y^4y'+y+xy'=2
y'(5y^4+x)=2-y
y'=2-y/5y^4+x

Answer 9

Thank you! That was the perfect reply...