Advanced Engineering Mathematics

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

expand_more

expand_more

format_list_bulleted

Question

Transcribed Image Text:4.62. Evaluate the derivative of the Gamma function and see dT'(x) r”(x) = dx ‘(In t)e¯’dt

Transcribed Image Text:and then show that at x= 1 T'(1) = -y where y 0.5772 is Euler’s constant 1 y = lim (1+ In(n)

Expert Solution

Trending nowThis is a popular solution!

Step by stepSolved in 4 steps

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

1.) Find the area under the curve y = x3 + 3×2 and the axis between x = 1 and x = 3. 2.) Evaluate the first derivative of the implicit function: 4×2 + 2xy + y2 = 0

arrow_forward

2. Differentiate the following function. y=ln(x+1)+ln7 dy/dx=?

arrow_forward

find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

arrow_forward

4) Find the first derivative or f’(x) of the following functions using the techniques of integration:

arrow_forward

Determine the percentage relative error (In 2 decimal places) when we compare the derivative of 12e^(2x) at x = 1 via incremental method (with h = 0.01) and via differential calculus. Show complete solution on a paper.

arrow_forward

Determine the percentage relative error (In 2 decimal places) when we compare the derivative of 12e^(2x) at x = 1 via incremental method (with h = 0.01) and via differential calculus. USE ALL DECIMALS ON YOUR CALCULATOR.

arrow_forward

find the derivative of y with respect to the given independent variable 1. y = 3-x 2. y = 2(s2) 3. y = t1-e 4. y = log3 (1 + u ln 3) 5. y = log25ex – log5sqrt(x)

arrow_forward

find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

arrow_forward

4) Find the first derivative of f'(x) of the function below using the techniques of the integration.

arrow_forward

Use Richardson extrapolation to estimate the first derivative of y = cos x at x = π/ 4 using step sizesof h1 = π/ 3 and h2 = π/ 6. Employ centered differences of O(h2) for the initial estimates.

arrow_forward

Find the (a) approximate error and (b) relative approximate error of the following: The derivative of f(x) = ln x at x = 3 when hcurrent = 0.001 and hprevious = 0.002

arrow_forward

Find the linearizationsof the following functions at x = 0. ln (1 + x)

arrow_forward

arrow_back_ios

SEE MORE QUESTIONS

arrow_forward_ios

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

Mathematics For Machine Technology

Advanced Math

ISBN:9781337798310

Author:Peterson, John.

Publisher:Cengage Learning,

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,