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2x f(x) = ex+ f'(x) = (3x + 2) ex+3 B f'(x) = (x2 + 2x) e*+2x-1 С f'(x) = ex®+2x f'(x) = €3x+2
part b
2. Let f(x) = x + 2x + x + 2x + 1 in Zy[x]. (a) (12 points) Show that f(x) has no roots in Zs. (b) (8 points) If f(x) is not irreducible, what are the degrees of its irreducible factors? Explain. [Do not factor f (2)]
(1 point) Let f(x) = (2x – 10)*(x² – 3)". 10)*(z? – 3)'. Find f'(x). f'(x) = |
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
Given: f(x) 2x -1, g(x) x + 2 Find f(g(2) 31 28 11 QUESTION 10 O Type here to search
x? - 2x+1 7. (15) Given the function f(x) (x-1)2 calculate all possible intercepts, X asymptotes, and relative max and min points. Draw a sketch of the graph.
10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph both f(x)
QUESTION 5: f(x) = 2 -(x-1) + x(x + 1) – 2x(x + 1)(x - 1) + 2x(x + 1)(x - 1)(x - 2) function (-1,2), (0,1), (1,2), (2, -7), (3,10) passes through these points and (4,5) Find the interpolation polynomial that passes through the point. 그 QUESTION 6: f(x) = cosx + x3 + xe-* using the values you want for this function write the second Lagrange interpolation polynomial that cuts and using this polynomial f(1,5) value find the...
1.f(x)=(2x-3)/(1-x+2x^2), find 4th degreeTaylor polynomial. 2. f(x)=(cos(x)-1)/((sin(x))^2), find 2nd degree Taylor polynomial.
f(x)=3x^2-2x+1, evaluate f(-1)