Question

Y=(x^{2} +7x-1)(5x+2)  use the product and quotient rule

Answer 1

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:
`(d)/(dx)[f(x)g(x)] =f(x)(d)/(dx)[g(x)]+g(x)(d)/(dx)[f(x)].`

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