|
|
|
|
|
|
|
|
|
|
|
|
Second derivative of $$$y$$$
Related calculators: Derivative Calculator, Logarithmic Differentiation Calculator
Your Input
Find $$$\frac{d^{2}}{dy^{2}} \left(y\right)$$$.
Solution
Find the first derivative $$$\frac{d}{dy} \left(y\right)$$$
Apply the power rule $$$\frac{d}{dy} \left(y^{n}\right) = n y^{n - 1}$$$ with $$$n = 1$$$, in other words, $$$\frac{d}{dy} \left(y\right) = 1$$$:
$${\color{red}\left(\frac{d}{dy} \left(y\right)\right)} = {\color{red}\left(1\right)}$$Thus, $$$\frac{d}{dy} \left(y\right) = 1$$$.
Next, $$$\frac{d^{2}}{dy^{2}} \left(y\right) = \frac{d}{dy} \left(1\right)$$$
The derivative of a constant is $$$0$$$:
$${\color{red}\left(\frac{d}{dy} \left(1\right)\right)} = {\color{red}\left(0\right)}$$Thus, $$$\frac{d}{dy} \left(1\right) = 0$$$.
Therefore, $$$\frac{d^{2}}{dy^{2}} \left(y\right) = 0$$$.
Answer
$$$\frac{d^{2}}{dy^{2}} \left(y\right) = 0$$$A
Please try a new game Rotatly