Question

Find the second order derivative of the following.
$(1) \: {x}^{3} + 7 {x}^{2} - 2x - 9$
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Answer 1

Answer:

6x+14

Step-by-step explanation:

When we differentiate x³+7x²-2x-9 for the first time, we get,

3x²+14x-2

When we differentiate x³+7x²-2x-9 for the second time , we get the second order differential equation.

d²x/dt²=6x+14

Answer 2

Given:

• $x^3+7x^2-2x-9$

To Find:

• Second-order derivative of the given expression.

Solution:

• This differentiation involves two steps.
• First, we should find the first-order derivative of the given expression.
• Next again we should differentiate the obtained expression once more. and we will get a second-order derivative.
• Let us equate the given expression to "y".
• y = $x^3+7x^2-2x-9$ Differentiating with respect to x.
• y' = $3x^2+7x-2$ Again differentiating with respect to x.
• y" = $3x+7$ (Second order derivative)

The second-order derivative is  $3x+7$