Suppose we wanted to differentiate the function

h(x)= (2-5x^4)(5-3x^3)

using the product rule.

1. Identify the functionsf(x) andg(x). f(x) = g(x) =
2. Calculate the derivatives of these two functions f'(x) = g'(x) =
3. Now calculate the derivative ofh(x) using the product rule h'(x) =

Suppose we wanted to differentiate the function: h(x)= (5-4x^6)/(4+2x^3)

using the quotient rule.

1. Identify the functionsf(x) andg(x). f(x) = g(x) =
2. Calculate the derivatives of these two functions f'(x) = g'(x) =
3. Now calculate the derivative ofh(x) using the quotient rule h'(x) =

Suppose we wanted to differentiate the function: h (x)= (3-2x^5)^4 + (1/ (3-2x^5)) Using the chain rule, writing the function h(x) as the composite function h(x)= f(g(x)) Identify : f(x)= g(x)= Calculate the derivatives: f'(x)= g'(x)= Now calculate the derivative of h (x) using the chain rule h'(x)=