Q5: a\. Let f(x) = x³ - 3x² -1, x ≥ 2. State and prove the theorem of derivative of inverse functions and use them to find the value of df-1/dx at the point x = -1 = f(3). b\, Write the Pascal's triangle for values of n = 6, then use it to determine the binomial series expansion of (3-2x)6, and simplify the result.

Q5: a\. Let f(x) = x³ - 3x² -1, x ≥ 2. State and prove the theorem of derivative of inverse functions and use them to find the value of df-1/dx at the point x = -1 = f(3). b\, Write the Pascal's triangle for values of n = 6, then use it to determine the binomial series expansion of (3-2x)6, and simplify the result.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

See similar textbooks