Example: Differentiate y = 2a where a is a constant
dy/dx=d/dx(2a)=0
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Step-by-step explanation:Differentiate with respect to x:
ddx(x2) + ddx(y2) = ddx(r2)
Let's solve each term:
Use the Power Rule: ddx(x2) = 2x
Use the Chain Rule (explained below): ddx(y2) = 2y dydx
r2 is a constant, so its derivative is 0: ddx(r2) = 0
Which gives us:
2x + 2y dydx = 0
Collect all the dydx on one side
y dydx = −x
Solve for dydx:
dydx = −xy
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