using the definition of derivative f´(x)=limh-->0 (x+h)-f(x) /h enter the expresion needed find the derivative at x=3 f¨(x)=lim h->0 after evaluating this limits, we see that f¨(x)= f¨(x)=lim h-->0 finally the equation of the tangent line to f(x) in point lope form, where x=3 is
using the definition of derivative f´(x)=limh-->0 (x+h)-f(x) /h enter the expresion needed find the derivative at x=3 f¨(x)=lim h->0 after evaluating this limits, we see that f¨(x)= f¨(x)=lim h-->0 finally the equation of the tangent line to f(x) in point lope form, where x=3 is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
let f(x)=4x2 +12x-2
using the definition of derivative f´(x)=limh-->0 (x+h)-f(x) /h
enter the expresion needed find the derivative at x=3
f¨(x)=lim h->0
after evaluating this limits, we see that f¨(x)=
f¨(x)=lim h-->0
finally the equation of the tangent line to f(x) in point lope form, where x=3 is -----------
f¨(x)= limh-->0 f(x+h)-f(x) /h
equation of tangent line to f(x) at x=x0 is y=f(x0 )=f¨(x0 )(x-x0 )
Expert Solution
Step 1
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,