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

A:

Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

A: We have to find the domain of the given function

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

A:

Q: Consider the following functions. Rw) - st) - (a) Find (e g)(x). Find the domain of feg. OR- (0, 4)…

A: fx=xx-3, gx=4x

Q: Let f(x) be the function f(x) 1. Find the following: x + 1 f(11) = f( – 10) | (4) 2 (-) f |

A: Given function is fx=xx+1-1. Put x=11 in the function. f11=1111+1-1=1112-1=-112 Therefore, f11=-112.

Q: Let f(x) = 7+ /6x – 8. Find f(x). f (2). f (x) =

A: For finding inverse function swap the variable and equation solve for x