Question

Let y=a x³ln (x) where a=11 then y'' at x=4 is equal to

Answer 1

To find the second derivative of y at x=4, differentiate the function twice and evaluate at x=4.

Step-by-step explanation:

To find the second derivative of y at x=4, we need to differentiate the function y twice. Given y=a x³ln(x), where a=11, we first take the derivative of y with respect to x:

dy/dx = 3a x²ln(x) + a x³(1/x) = 3a x²ln(x) + a x²

Next, we take the derivative of dy/dx with respect to x:

d²y/dx² = d/dx(3a x²ln(x) + a x²)

We can simplify this equation and then evaluate it at x=4 to find the value of y''.