f(x+h)-f(a) a.) Find the derivative function, f'(x) = lim h-0 b.) Determine the slope of the curve, f'(a). c.) Write the equation of the line tangent to the curve at (a, f(a)) in slope-intercept form.
f(x+h)-f(a) a.) Find the derivative function, f'(x) = lim h-0 b.) Determine the slope of the curve, f'(a). c.) Write the equation of the line tangent to the curve at (a, f(a)) in slope-intercept form.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Got help on the last one but I don't know what the D'L rule is.
Transcribed Image Text:arivativoe
Stadents
1 Lab Introducing the Derivative
Student:
Calculus I
each given function, do the following:
f(ar +h)- f(r)
a.) Find the derivative function, f'(x) = lim
b.) Determine the slope of the curve, f'(a).
c.) Write the equation of the line tangent to the curve at (a, f(a)) in slope-intercept form.
f(r) = - 2x2 + 3x- 1; a = - 4
la.) f'(x) = 4x +
lim E2X th)? +3(xth)-1)-(-2x43x-1) r(-4)- 19
lc.)
-2(+2sh th?)+3r+3h-I+2x2-3x+|
n-_4wh +3h h(2n-4x +3)=2h-4x +3
%3D
20
0-4x+3
Transcribed Image Text:Calculus I
For each given function, do the following:
a.) Find the derivative function, f'(x) = lim
f(z+h)- f(x)
h-0
b.) Determine the slope of the curve, f'(a).
c.) Write the equation of the line tangent to the curve at (a, f(a)) in slope-intercept form.
1.)
f(z) = - 2x2 + 3x-1; a = - 4
la.) f'(z) = 4x +3
for
lim 2X th)? +3(xth)-1)-(-2x%3x1)0,)r(-4)- 19
lc.)
-2(X+2xh th?) +3x+3h-1+2x-3x+"
= -2h?-4xh +3h k(2n-4x+3)-2h-4x +3
%3D
20
0-4x +3
g(x) =
4
; а 3 3
2a.) g(x) =.
2.)
x2 +7
2b.) g(3) =_
2c.)
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