Use the variable u for the inside function to express each of the following as a composite function. (a) y=(5 t²-3) NOTE: u(t) is the inside function and y(u) is the outside function. u(t) =

Q: 9. Use the product rule to find and state the rule for dif- ferentiating a product of three…

A: The product rule of differentiation is given by,…

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: Find the inverse of the function f (x)= \x-2.

A: To find the inverse of the function,  Let y=f(x) Therefore, x=f-1(y) Substitute y in place of f(x)…

Q: A jogger ran 4 miles and then walked 2 miles. The average velocity running was 3 miles per hour…

A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

Q: Simplify the difference quotient f(x) = f(a) x - a for the following functions.

A:

Q: A scientist observed that the speed S at which certain ants ran was a function of T, the ambient…

A:

Q: Let f(x) = 3x? +x - 5. Evaluate each function value. (b) f(0) (a) f(-2) (c) f(4) (d) f(;)

A: Given function is fx=3x2+x-5. (a) To find f-2. Solution: We have fx=3x2+x-5. Put x=-2…

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

A:

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

A:

Q: R(x) = //x – 1 X.

A: