Let f(x)=√8-x³¹ for x <2. -3.x² 2√√8-x³ (a) Show that f'(x) = - for x < 2. The graph of y=f(x) is shown in Figure 9, along with the normal to the graph at x = -1. -4 -2 6 4+ 2 Figure 9 f(x) 2 +x 4 (b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y=-5.
Let f(x)=√8-x³¹ for x <2. -3.x² 2√√8-x³ (a) Show that f'(x) = - for x < 2. The graph of y=f(x) is shown in Figure 9, along with the normal to the graph at x = -1. -4 -2 6 4+ 2 Figure 9 f(x) 2 +x 4 (b) (i) Show that the normal to the graph of y = f(x) at x = -1 has the equation 2.x-y=-5.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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Transcribed Image Text:(ii) State the x-intercept of the normal 2x-y = -5.
Transcribed Image Text:Let f(x)=√√8-x³ for
for x < 2.
-3.x²
2√√8-x³
(a) Show that f'(x) = -
for x < 2.
The graph of y = f(x) is shown in Figure 9, along with the normal to the graph at x = -1.
+
-2
6
4+
2.
$
Figure 9
f(x)
2
+x
4
(b) (i) Show that the normal to the graph of y = f(x) at x = -1 hast equation 2x-y=-5.
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