Mathematics
OpenStudy (anonymous):

Can someone explain me how to solve this? Given e^x y+y^2 x - sinx=6 Find dy/dx

OpenStudy (anonymous):

OpenStudy (anonymous):

implicit diff think of $y=f(x),y'=f'(x)$ and use the product, quotient and chain rule where applicable.

OpenStudy (anonymous):

$y+y^2x-\sin(x)=6$ $y'+2yy'x+y^2-\cos(x)=0$ in this case, the solve for y' with some algebra

OpenStudy (anonymous):

your way smarter than me lol but im only in 8th grade

OpenStudy (anonymous):

you get $y'+2yy'x=\cos(x)-y^2$ $y'=\frac{\cos(x)-y^2}{1+2xy}$

OpenStudy (anonymous):

thank you so much u saved my life!

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

e^x was in the original problem, but you didn't have it in your answer