The cell body, also called the soma, is the spherical part of the neuron that contains the nucleus. The cell body connects to the dendrites, which bring information to the neuron, and the axon, which sends information to other neurons.
Hi there!
We can use implicit differentiation with respect to x:
If a term with 'y' is differentiated, a 'dy/dx' must be included.
We can differentiate each term separately for the explanation.
<u>3xy</u>
We must use the power rule since 'x' and 'y' are both in this term.
Power rule:
Now, we can do the others.
<u>4x</u>
This is a normal power rule derivative.
<u>y²</u>
Since we are not differentiating with respect to y, we must include 'dy/dx'.
Combine the above:
Rearrange to solve for dy/dx.
Move dy/dx to one side:
Factor out dy/dx and divide:
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You will have to divide it 540 divided by 4.5 is 120