Derivatives Quiz

Play an AI-generated podcast conversation about this lesson

What is the derivative of y with respect to x in the given equation?

6x - 2y - 7

What is the numerator of the fraction in the given equation?

6x - 2y - 7

What is the denominator of the fraction in the given equation?

2x + 3y - 6

Match the following components of the equation dy/dx=6x-2y-7/2x+3y-6 with their respective classification:

dy/dx = Derivative notation 6x-2y-7 = Numerator of the fraction 2x+3y-6 = Denominator of the fraction 6x = Part of the numerator Signup and view all the answers

Match the following parts of the equation dy/dx=6x-2y-7/2x+3y-6 with their descriptions:

dy/dx = Indicates rate of change of y with respect to x 6x-2y-7 = Part of the equation before the division 2x+3y-6 = Part of the equation after the division -2y = Subtraction operation in the numerator Signup and view all the answers

Match the following elements of the equation dy/dx=6x-2y-7/2x+3y-6 with their roles:

dy/dx = Symbol for differentiation 6x-2y-7 = Expression in the numerator 2x+3y-6 = Expression in the denominator -7 = Constant in the numerator Signup and view all the answers