If y = 5 cos x – 3 sin x, then 𝑑2𝑦𝑑𝑥2 is equal to:

To find the second derivative of the function y = 5 cos x - 3 sin x, we first need to find the first derivative.

The derivative of cos x is -sin x and the derivative of sin x is cos x. So, applying these rules, we get:

dy/dx = -5 sin x - 3 cos x

Now, to find the second derivative, we take the derivative of dy/dx. Again, the derivative of sin x is cos x and the derivative of cos x is -sin x. So, we get:

d²y/dx² = -5 cos x + 3 sin x

So, the second derivative of the function y = 5 cos x - 3 sin x is -5 cos x + 3 sin x.