![$1x) = (x-1) (1948) Applying froduct rule of differentation dbal= (x-1) 1 Ento) + (+6)xi f als eToto [ 74-7 ti] [8/4)= 4T+6](http://img.homeworklib.com/questions/ba355ee0-38dc-11eb-9b80-bdff7e2c48f4.png?x-oss-process=image/resize,w_560)
12. Determine the derivative of the function. f(x) = (x - 1)e7x + 6 a. f'(x)...
Q1. If g(x)=4cosx, then a) 4sinx b) -4 sinx c) -4cosx d) 4cosx Q2. The derivative of the function f(x)=-9x2 + 5x at x=-3 is a) -10 b) 41 c) 36 d) -49 x54 Q3. If g(x)= 3x +6x, *S*. then lim g(x)= =........ 8x+10, a) 48 b) 24 c) 72 d) 42 Q4. Find: lim (5+h)-25 Q5. Find: limano sin Q6. If y=x-*+cosx , then finden Q7. Using the definition, determine whether the function X57 is continuous at x=7....
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina
Use logarithmic differentiation to find the derivative of the function. y = 6 Select one: a. y' = 6x®(6 Inx+1) b.y' = -6x®*(Inx+6) о C. y' = 6(Inx+1) d. None of these e. y' = 6x®* (In x + 1) f. y' = x* (In 6x + 1) o
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
Consider the function f(x) = x ln(3x+1) (a) Find the derivative (b) Write the linearization of f at x = 2 (c) Use your linearization to estimate f(2.5) (d) Draw a sketch of the function in the space below, using a solid line for f(x). On the same coordinate plane, draw a sketch of the linearization using a dotted line. Please use values 0<x<5(or equal to) on the x-axis (e) Is your estimate from part c an overestimate or underestimate?
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
8,14 please
8. The graph of the first derivative f' of a function f is shown. (a) On what intervals is f increasing? Explain. (b) At what values of x does f have a local maximum or minimum? Explain. (c) On what intervals is f concave upward or concave down- ward? Explain (d) What are the x-coordinates of the inflection points of f? Why? y = f'(x) 2 6 8 9-18 (a) Find the intervals on which f is increasing...
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
Let f(x) = 7x + 1 be the function such that f(x) = 6x2 + 2-1 n2". n=0 Q6.1 10 Points 1 Using the well-known geometric series r" = , |* |< 1, find the formula of Cand n=0 find the domain D of the function f. Please select file(s) Select file(s) Save Answer Q6.2 8 Points Using part Q6.1, find the value of the 102nd derivative of f(x) at x = 0; that is, find f(102)(0). Please select file(s)...
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)