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a) f(x) = 2x + 1, c = 1 [b) f(x)=3√√x+1, c = 3 4 (c) f(x) = [d) f(x) = x+1 X 1- x , C = 2 c = -3 f'(c) = lim h→0 J(c+h)- h - J(C) (e) f(x) = |x|, c = 3 (f) f(x) = x|x|, c = −1 (g) f(x) = 3x³ — x, c = 0 √x x-1,C=4 (h) f(x) = =

a) f(x) = 2x + 1, c = 1 [b) f(x)=3√√x+1, c = 3 4 (c) f(x) = [d) f(x) = x+1 X 1- x , C = 2 c = -3 f'(c) = lim h→0 J(c+h)- h - J(C) (e) f(x) = |x|, c = 3 (f) f(x) = x|x|, c = −1 (g) f(x) = 3x³ — x, c = 0 √x x-1,C=4 (h) f(x) = =

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
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Explain thoroughly on paper thanks :). The exercise 6-1 is referring to the Q'S a-h in the first pic 

(a) f(x) = 2x + 1, c=1 (b) f(x) = 3√√x+1, c = 3 4 C -,c= x+1' X (c) f(x) = = (d) f(x) = 1 X 2 , C = -3 f'(c) = lim h→0 f(c+h)-f(c) h (e) f(x) = |x|, c = 3 (f) f(x)=x|x|, c = −1 (g) f(x) = 3x³ — x, c = 0 √x x Ī, C = 4 (h) f(x) = For each function in Exercise 6-1, determine where the function is differentiable, and determine f'(x) in general. For each function f and point c in Exercise 6-1, determine the equation of the tangent line to f through c.
Transcribed Image Text:(a) f(x) = 2x + 1, c=1 (b) f(x) = 3√√x+1, c = 3 4 C -,c= x+1' X (c) f(x) = = (d) f(x) = 1 X 2 , C = -3 f'(c) = lim h→0 f(c+h)-f(c) h (e) f(x) = |x|, c = 3 (f) f(x)=x|x|, c = −1 (g) f(x) = 3x³ — x, c = 0 √x x Ī, C = 4 (h) f(x) = For each function in Exercise 6-1, determine where the function is differentiable, and determine f'(x) in general. For each function f and point c in Exercise 6-1, determine the equation of the tangent line to f through c.
Redo Exercise 6-1, but this time use the limit f'(c) = lim x→C to find the derivative. f(x) = f(c) x - C
Transcribed Image Text:Redo Exercise 6-1, but this time use the limit f'(c) = lim x→C to find the derivative. f(x) = f(c) x - C
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