Explain the steps used to apply l'Hôpital's Rule to a limit of the form Choose the correct answer below. O A. Take the limit of the derivative obtained using the quotient rule. O B. Take the limit of the quotient of the derivatives of the numerator and denominator. OC. Rewrite the quotient as a product, then take the limit of the derivative of the product. O D. Take the limit of the quotient of the derivatives of the denominator and numerator.

Q: a. Use the Product Rule to find the derivative of the given function.Simplify your result.b. Find…

A: (a) fx=x-13x+4      fx=3x2+x-4 Product rule:     ddxu.v=uddxv+vddxu Let:     u=x-1v=3x+4 So,…

Q: d y. d3y dy d'y dy (+() dy + y dt2" dt + b dt dt2 ay dt3 d/dt (5 %3D dt

A: Explained below

Q: a. Use the Quotient Rule to find the derivative of the given function.Simplify your result.b. Find…

A: The given function is fw=w3-ww

Q: d²y d²y dy + d dt. d dy dy = ay + by dt dt. dt dt2 dt2 dt

A: We find the value of a,b,c and d.

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: Exc. Eind. Lim (x-1) y3 2

A:

Q: Use the first derivative test and the second derivative test to determine where each function is…

A:

Q: f(x) マ cos メ x`cos?x Sinx

A: Given,            f(x) = x2 cos2(x)sin (x)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: