Ro solve the problem what is 3/4 of 12 you would
2 answers:
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Answer:
Step-by-step explanation:
If your function is
, that is definitely not the answer you should get after taking the derivative implicitely. Rewrite your function to simplify a bit:
Take the derivative of x terms like "normal", but taking the derivative of y with respect to x has to be offset by dy/dx. Doing that gives you:
Collect the terms with dy/dx on one side and everything else on the other side:
Now factor out the common dy/dx term, leaving this:
Now divide on the left to get dy/dx alone:
Simplify each set of fractions to get:
Bring the lower fraction up next to the top one and flip it upside down to multiply:
×
Simplifying that gives you the final result:
or you could multiply in the x on the bottom, as well. Same difference as far as the solution goes. You'd use this formula to find the slope of a function at a point by subbing in both the x and the y coordinates so it doesn't matter if you do the distribution at the very end or not. You'll still get the same value for the slope.