[b] Take a limit of the standard slope formula, as shown below, to find the instantaneous rate of change of g when x = 2 g(u)-g(2) lim u-2 [c] Repeat exercise [b] to find g'(2), but this time using the difference quotient limit instead. lim A-O a(z+h)-g(3) [d] Use your answer to [b] and [c] to write an equation for the line tangent to g when x = 2.

Q: Iff(x) = 3 x- 2 x, find f'(x)

A:

Q: r(x) = In(x*)

A:

Q: The following equation is increasing in which intervals? y=(x-4)^(2)(x-1)(x+3)^(2)

A:

Q: Sketch the function   k(x)=x^4+x^3-6^x^2   i need to grapy this equation and to plot it i need…

A: Sketch the function   k(x)=x^4+x^3-6^x^2   i need to grapy this equation and to plot it i need five…

Q: Write a formula for the function obtained when the graph is shifted as described. When typing…

A: f(x) =x^2  Find new equation of f(x) =?.  Where,  for find New function of f(x) , first reflect…

Q: If f(x) = (x + 1)( x + 2), find f'(0)

A:

Q: The function P =f(n) = 45127(0. 943)“ models the anticipated population, P, of a small town in…

A: Given, P=fn = 451270.943n  Where P is the population of the town and n represent the number of years…

Q: 1 (1) For the function f(x)=1-. find the following: (x+2)? (ii) f(x+k) (i) f(-x)

A:

Q: Find the domain of the function? Ignore the incomplete sentence. The function is included in the…

A:

Q: If f(x)=sin, then find f^ (2021) (x) =

A:

Q: Find the following for the function​ f(x) = x/x^2 +1  (h) f(x+h) please help me with this question

A: In this question, we will find f(x+h).

Q: How do you use the Intermediate Value Theorem and Rolle’s Theorem to show that the function g(x) =…

A:

Q: F(x)= x^3/7. G(x)= 3 squared 7x f(G(x)) =f (??? g(f(x))=g (????

A: f(x)=x37,g(x)=7x3

Q: a) 1-5x The function is given as y= 3-7x To find the inverse of the function,

A:

Q: 2. Find the derivative of the function f(x) = (x+1)(x³ +2x²+4) Do not simplify.

A:

Q: Please no written by hand solutions   03 Matching Let f(x)=x^(2)-1,g(x)=7-3x-x^(2), and h(x)=2x-1.…

A: Given,  f(x)=x^(2)-1,g(x)=7-3x-x^(2) and h(x)=2x-1 Now, (f+g)(x) =f(x)+g(x) =x^(2)-1+7-3x-x^(2)…

Q: Consider the function f(x) = 3 24 5 For what value(s) of x is the function undefined? O 1,-5 O 2,3 O…

A: f(x)=3xx2+4x-5x is not defined for x2+4x-5=0

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Mnty equation.…

A:

Q: f(x) = (In x)7

A:

Q: The domain of Let f(x)=(1)/(2)x-3,-3<=x<=4 f^(-1) is the interval A,B where A= and B

A:

Q: = 2x2 + 2x. Let f(x) = 2x + 5 and g(x) After simplifying, (f o g)(x) =

A: Concept -(Fog)(x)=F(g(x)) Similarly GoF(x)=G(F(x))

Q: (2x² – 4, x < 2 x + 2, 7, Determine the values for x for which the function f(x) |x| 2 < x < 5 is…

A: For discontinuous, left hand limit and right hand limit should not be equal.

Q: What is the new function g (x) after vertically stretching f (x) = 5(2-2) by a factor of 3?

A: To find the new function g(x) after vertically stretching f(x)=5(x-2) by a factor of 3.

Q: Given the function ( 4x + 4 x 0 Calculate the following values: f( – 1) = f(0) = f(2) =

A: Since you have posted multiple questions and I can answer one question at a time. So I have answered…