Derivative Using Product Rule - d/dY: Since (x^2+7x−1)(5x+2) is constant with respect to Y, the derivative of (x^2+7x−1)(5x+2) with respect to Y is 0.
Derivative Using Product Rule - d/dx: [tex]\frac{d}{dx}[f(x)g(x)] =f(x)\frac{d}{dx}[g(x)]+g(x)\frac{d}{dx}[f(x)].[/tex]
Derivative Using Quotient Rule - d/dY: Since (x^2+7x−1)(5x+2) is constant with respect to Y, the derivative of (x^2+7x−1)(5x+2)with respect to Y is 0.
Derivative Using Quotient Rule - d/dx: Differentiate using the Product Rule,
15x^2+74x+9