If f is a differentiable function, find an expression for the derivative of each of the following functions

12a.  d) x⁶ f'(x) + 6x⁵ f(x)

Step-by-step explanation:

Use the multiplication formula for derivatives:

y = a · b       →     y' = a'b + ab'

y = x⁶ · f(x)      

a = x⁶          b = f(x)

a' = 6x⁵       b' = f'(x)

y' = a'b + ab'

y' = 6x⁵ f(x) + x⁶ f'(x)

***************************************************************

12b.  

Step-by-step explanation:

Use the division formula for derivatives:

      →    

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

c is the answer

step-by-step explanation: