if y = (3x^2 + 4x^2 + 5)/2x find dy/dx

Sure, let's find the derivative of the function y = (3x^2 + 4x^2 + 5)/2x step by step.

Step 1: Simplify the function First, we simplify the function. The numerator simplifies to 7x^2 + 5. So, the function becomes y = (7x^2 + 5)/2x.

Step 2: Rewrite the function We can rewrite the function as y = 7/2 * x + 5/2x. This will make it easier to differentiate.

Step 3: Differentiate Now we differentiate each term with respect to x. The derivative of 7/2 * x is 7/2. The derivative of 5/2x is -5/2x^2 (using the power rule for differentiation