Examples of using Second derivative in English and their translations into Turkish
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If the slope is decreasing, then the rate of change of slope is negative, which tells us that the second derivative is negative.
is greater than 2/3, that tells us that the second derivative is positive.
And if you really wanted to verify it, you can take the second derivative, add x equals 4,
The second derivative is positive tells us that we are concave upwards, really over this whole combined area function, we're concave upwards.
And they also tell us that the second derivative is less than 0, so it's concave
But hopefully, you at least have an intuitive sense of what inflection points look like and what the second derivative is telling us.
but also its second derivative.
As the value is increased, you can expect a smoother second derivative.
Now if the second derivative equals 0, that doesn't tell us that those are definitely inflection points.
So, we get 4i plus… and then the derivative- the second derivative, or the second derivative of y with respect to t is just the derivative of the first derivative. .
A-- so the second derivative of the sum of those two functions is going to be the second derivative of both of them summed up-- plus B times the first derivative of the sum plus C times the sum of the functions.
upside down U shape. So f prime prime, our second derivative, at x is equal to 0, is equal to what?
So the second derivative, that's r squared times e to the rx,
The second derivative of"f" is the everywhere-continuous 6"x",
we would use the second derivative and divide by 2!, etc. The case of(z- i)
And we get A-- let's take this one; let's take all the g terms-- A times the second derivative of g, plus B times the first derivative, plus C times g-- that's these three terms-- plus A times the second derivative of h, plus B times the first derivative, plus C times h.
Let's say that I had the following nonhomogeneous differential equation: the second derivative of y minus 3 times the first derivative minus 4y is equal to-- now this is where gets interesting-- 3e to the 2x plus 2 sine of x plus-- let me make sure that I'm doing the same problems that I have already worked on-- plus 4x squared.
The structure of Maxwell relations is a statement of equality among the second derivatives for continuous functions.
what happens when their second derivatives equal each other?
What's the second derivative?