2. Find the derivatives of the following functions. 4 a. f(x) = 3x³ x2 b. f(x) = (4 – x²)" C. f(x) = esin(x) d. f(x) = In(x + 2) e. f(x) = x²cos(x) + xtan(x) f. f(x) = V3x² +2 g. f(x) = -sin¬'(x) 4 3 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Find the derivatives of the following functions.
4
a. f(x) = 3x³ -
x-
3
b. f(x) = (4 – x²)'
C. f(x) = esin(x)
d. f(x) = ln(x +2)
e. f(x) = x²cos(x) + xtan(x)
f. f(x) = V/3x² + 2
g. f(x) = –sin¬'(x)
%3D
%3D
4
h. x²y = (y +2) + xysin(x)
Transcribed Image Text:2. Find the derivatives of the following functions. 4 a. f(x) = 3x³ - x- 3 b. f(x) = (4 – x²)' C. f(x) = esin(x) d. f(x) = ln(x +2) e. f(x) = x²cos(x) + xtan(x) f. f(x) = V/3x² + 2 g. f(x) = –sin¬'(x) %3D %3D 4 h. x²y = (y +2) + xysin(x)
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