9. Use the product rule to find and state the rule for dif- ferentiating a product of three functions f, g, and h. In other words, fill in the blank:( f(x)g(x)h(x))' = Then use your rule to differentiate the function y= (2x – 1)(x2 +x+ 1)(1 – 3x4). Check your answer by dif- ferentiating the function y(x) another way.

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: 16. f" (x) = x² + p3 %3D

A: The given function is f''x=x2+x3. The function f(x) can be obtained by integrating the given…

Q: Find f.g, g. f, and g. g. f(x) = x + 4, g(x) = x - 9 (a) f.g (b) g.f

A: Explanation and solutions is given below....

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: Is the function g(x) = x2 one-to-one?

A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

A:

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below