help
with?
Question?
Hey didn't I just do this?
No different one.
when doing partials, treat extra variables like constants
Fx is the partial derivative of the function with respect to x and Fy is the partial derivative of the function with respect to y. Once you take these partial derivatives, plug in the coordinates and you will have the solutions
\[\frac{\partial \text{}}{\partial x}\left(x^4+5 x^2 y\right)=4 x^3+10 x y\] Then use (1,2) and find the values, Try that and the other partial derivative
Use dumbcow's idea as well :)
whats dumbcows?
treating the extra variables as constants..
Fx(1,2) = 4(1^3)+10*(1)*(2)..
5 and y, in 5x^2y will be constants, so when you derive, you will get 10xy
\[\alpha/\alpha y = 4x+10y?\]
no no no.. when you're differentiating with respect to y, treat x as a constant. The 4x^3 would then go to zero, and the 10x^2 will just remain the same as the 'y' variable drops off. Fy = 5x^2
In \[\frac{\partial \text{}}{\partial y}\left(x^4+5 x^2 y\right)\] Treating \(x^4\) as constant, and \(5x^2\), You get \(5x^2\)
Ohhh. so constant is always zero.
@.Sam.
Yes
Because we are talking the partial derivative of y, x^4 will be a constant, just like a number 5,10,12. So derivative will give zero
Ok thank you
Welcome :)
Join our real-time social learning platform and learn together with your friends!