Evaluate the derivative of the function y= 5 sin⁡x + 2 cos⁡x

To evaluate the derivative of the function y = 5 sin⁡x + 2 cos⁡x, we can use the rules of differentiation.

Step 1: Differentiate the term 5 sin⁡x. The derivative of sin⁡x is cos⁡x, so the derivative of 5 sin⁡x is 5 cos⁡x.

Step 2: Differentiate the term 2 cos⁡x. The derivative of cos⁡x is -sin⁡x, so the derivative of 2 cos⁡x is -2 sin⁡x.

Step 3: Combine the derivatives of the two terms. The derivative of y = 5 sin⁡x + 2 cos⁡x is therefore 5 cos⁡x - 2 sin⁡x.