# De value of second derivative

• MHB
• karush
In summary, The second derivative is the rate of change of the first derivative. It is important because it can tell us the rate of change of the rate of change of a function, which can provide valuable information about the behavior of the function. The second derivative is calculated by taking the derivative of the first derivative and can also be calculated by using the limit definition of the derivative. A positive second derivative indicates that the slope of the graph is increasing, while a negative second derivative indicates that the slope of the graph is decreasing. These can indicate whether the function is concave up or concave down and can provide information about the increasing or decreasing rate of the function. In real-world applications, the second derivative can be used to find maximum or minimum points

#### karush

Gold Member
MHB
If $(x+2y)\cdot \dfrac{dy}{dx}=2x-y$ what is the value of $\dfrac{d^2y}{dx^2}$ at the point (3,0)?
ok not sure of the next step but
$\dfrac{dy}{dx}=\dfrac{2x-y}{x+2y}$

Re: 231 value of second dirivative

See https://mathhelpboards.com/calculus-10/297-ap-calculus-exam-2nd-derivative-26690.html.