Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
4) At what values of x is h(x) not differentiable? 5) Find h'(1) and h'(-2). 6) Find an equation to the tangent line of h(x) at x = -2.

4) At what values of x is h(x) not differentiable? 5) Find h'(1) and h'(-2). 6) Find an equation to the tangent line of h(x) at x = -2.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
4,5,6
f(x) g(x) 5 0 -5 5 1) At what values of X is f(x) not differentiable? As we already know a function is not differentiable at •Sharp points. So, when looking above at the graph at the function f(x), X equal to 1 and negative 1. Function f(x) is NOT differentiable at x = 1₁ and -1. 2) At wheit voilues of x is g(x) not differentiable? As previously mentioned before a function is NOT differentiable at Sharp points. Looking at the graph above the two values of a that g(x) is not differentiable is values x = -1 and 3, the slede sharp points of g(x). 3) Let li(x) = f(x) + g(x). swetch. v To find h(x) we start by taking our previous values of functions f(x) and g(x), which are f(x) = 3, g(x) = -1. Both equal -5. A.T X= -1, we are taking both values f(x)=1 and g(x) = -1. So h(x) = 3 + 7 = 4. A+ x = 3 f(x) = 3 and g(x) = 1, so h(x) = 3 + 1 = 4₁ A+ x=5₁ f(x) = 3 3 and 96)=3 so, h(x) = 3-3-0.
Transcribed Image Text:f(x) g(x) 5 0 -5 5 1) At what values of X is f(x) not differentiable? As we already know a function is not differentiable at •Sharp points. So, when looking above at the graph at the function f(x), X equal to 1 and negative 1. Function f(x) is NOT differentiable at x = 1₁ and -1. 2) At wheit voilues of x is g(x) not differentiable? As previously mentioned before a function is NOT differentiable at Sharp points. Looking at the graph above the two values of a that g(x) is not differentiable is values x = -1 and 3, the slede sharp points of g(x). 3) Let li(x) = f(x) + g(x). swetch. v To find h(x) we start by taking our previous values of functions f(x) and g(x), which are f(x) = 3, g(x) = -1. Both equal -5. A.T X= -1, we are taking both values f(x)=1 and g(x) = -1. So h(x) = 3 + 7 = 4. A+ x = 3 f(x) = 3 and g(x) = 1, so h(x) = 3 + 1 = 4₁ A+ x=5₁ f(x) = 3 3 and 96)=3 so, h(x) = 3-3-0.
4 5 0 4) At what values of x is h(x) not differentiable? 5) Find h'(1) and h'(-2). 6) Find an equation to the tangent line of h(x) at x = -2. 5
Transcribed Image Text:4 5 0 4) At what values of x is h(x) not differentiable? 5) Find h'(1) and h'(-2). 6) Find an equation to the tangent line of h(x) at x = -2. 5
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS