Malik Dean
2022-04-09
xcentricccrhb1
Beginner2022-04-10Added 12 answers
in simplifying the equation we get
We then apply the chain rule to get
Then we substitute in for to find the gradient of the tangent at
This results us getting , however we need the normal's gradient, not the tangent's. The normal times the tangent gives us , so therefore the gradient of the normal will be .
Now we know the gradient, we just need the co-ordinates which it runs through. We then sub back int the original equation to find the point which the normal will pass through. The y value, after subsitution is .
Therefore by substituting the numbers/values into the point gradient formula, we'll find the equation of the normal. The point gradient formula is
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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