3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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n Givan that f(x) = cos(2x), find f(34)(x).
1 of 1
2) Find nth derivative of the following function
f(x) =
ex
3) Find d?y/dx² at the point (1, 1), if x6 + y6 = 2.
4) If y = (x² + 1)cos(3x), then find dy/dx.
%3D
5) Evaluate the following limit
e cosx – 1
lim
x-n/2 2x – n
6) Given that f'(1) = 5, find
f(1+ 2h) - f(1 – 4h)
lim
h-0
3h
Transcribed Image Text:n Givan that f(x) = cos(2x), find f(34)(x). 1 of 1 2) Find nth derivative of the following function f(x) = ex 3) Find d?y/dx² at the point (1, 1), if x6 + y6 = 2. 4) If y = (x² + 1)cos(3x), then find dy/dx. %3D 5) Evaluate the following limit e cosx – 1 lim x-n/2 2x – n 6) Given that f'(1) = 5, find f(1+ 2h) - f(1 – 4h) lim h-0 3h
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