Differentiate these using the product rule. Write your answers in fully factorised form with the common factor before the brackets. y = x° (x² + 3) y = e* (x³ + 5) dy dy dx = e dx y = x° (In x + 2) y = e2* (5x + 3) dy dx dy = e dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 70E
icon
Related questions
icon
Concept explainers
Topic Video
Question

help

Q2 - Stationary points
dy
dy
if y = x e*
Find
if y = x Inx
Find
dx
dx
dy
dy
e
dx
dx
Find the value of x
Find the value of x
at the stationary point. x =
at the stationary point. x =
d²y
Find a formula for
dx?
d'y
Find a formula for
dx?
d²y
d?y
e
dx²
dx?
Hence this is a
Hence this is a
min
max
min
max
Transcribed Image Text:Q2 - Stationary points dy dy if y = x e* Find if y = x Inx Find dx dx dy dy e dx dx Find the value of x Find the value of x at the stationary point. x = at the stationary point. x = d²y Find a formula for dx? d'y Find a formula for dx? d²y d?y e dx² dx? Hence this is a Hence this is a min max min max
Differentiate these using the product rule.
Write your answers in fully factorised form
with the common factor before the brackets.
y = x (x² + 3)
y = e* (x+ 5)
dy
dy
= e
dx
dx
y = x° (In x + 2)
y = e2* (5x + 3)
dy
dx
dy
= e
dx
)
3
y = x5e4x
y = 4x(x² - 2)
dy
dy
e
dx
dx
II
Transcribed Image Text:Differentiate these using the product rule. Write your answers in fully factorised form with the common factor before the brackets. y = x (x² + 3) y = e* (x+ 5) dy dy = e dx dx y = x° (In x + 2) y = e2* (5x + 3) dy dx dy = e dx ) 3 y = x5e4x y = 4x(x² - 2) dy dy e dx dx II
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage