SOLUTION: Let f(x)=4x^2+5x+4 and let g(h)= f(1+h)−f(1)/h Determine each of the following: (a) g(1)= (b) g(0.1)= (c) g(0.01)= You will notice that the values that you

Question 1168270: Let f(x)=4x^2+5x+4 and let g(h)= f(1+h)−f(1)/h
Determine each of the following:
(a) g(1)=
(b) g(0.1)=
(c) g(0.01)=

You will notice that the values that you entered are getting closer and closer to a number L. This number is called the limit of g(h)as h approaches 0 and is also called the derivative of f(x) at the point when x=1.
Enter the value of L:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Let and let
Determine each of the following:
(a) =

=>

(b)

You will notice that the values that you entered are getting closer and closer to a number . This number is called the limit of as approaches and is also called the derivative of at the point when .

= '

derivative of is
'..........at the point when is
'

so, the value of is:

as you can see, , , are getting closer and closer to

RELATED QUESTIONS
Let f(x) = 2x^2 - 4x + 1 and g(x) = 3x + 2 and evaluate each of the following: g(f) (answered by Nate)

Given the functions f(x)=2x-4, g(x)= √x, and h(x)=x^2+9, calculate each of the... (answered by DrBeeee)

Use the functions f(x) = 2x +7, g(x) = x squared + 3x, and h(x) = 1/x-7 to find each of... (answered by funmath)

Let f(x)= x-2, g(x)= square root of x, and h(x)=1/x. Find an equation defining each... (answered by solver91311)

Let f(x) = 2x, g(x) = x—5, and h(x)=x^2-1. Find each value. (1) (fh)(2) (2)... (answered by josgarithmetic,math_tutor2020,ikleyn)

Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible... (answered by stanbon)

Let f(x) = 2x, g(x) = x—5, and h(x)=x^2-1. Find each value. (1) (f+g)(3) (2)... (answered by math_tutor2020)

Page 367 Evaluate each of the following quadratic functions for the given value of x.... (answered by Alan3354)

Let f(x) = 5x � 4 and g(x) = x2 � 1. Find each value. g(f(-1)) f(g(2))... (answered by stanbon)