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im just double checking if this is correct? Divide the pe 3x- vx-1. 3) (10 pts)...
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13...
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13 Evaluate the integration I, where I = dt 5t2 3 If f'(x) == Vx+ and the curve f(x) passes through the point (0,2) 2 2 i) Find f(x) 11) Find the local extreme (if any) of f(x) using second derivative test. d) Evaluate using integration by parts: 5 (0)do, where f(O)=(0+1) sin 30 Page 4 of 5
FIND THE DERIVATIVE OF THE GIVEN FUNCTIONS! 2. f(x) Vx+3x-1 3. f(x)=x(x -x)
FIND THE DERIVATIVE OF THE
GIVEN FUNCTIONS!
2. f(x) Vx+3x-1 3. f(x)=x(x -x)
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3...
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)
2.9.19 If a function f has an inverse and f(-3) = 2, then what is f-1(2)?...
2.9.19 If a function f has an inverse and f(-3) = 2, then what is f-1(2)? 7+(2)=0 2.9.33 2x+8 3x - 8 Consider the functions f(x) = 7and g(x)=3-. (a) Find f(g(x)). (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) % 2.9.27 For F(x)=x2-5, find each of the following a. f(0) b.-1(-5) c. (fof-1/(507) a. f(0) = -5 b.t-1(-5)=0
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval...
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval (-3, 2] 3-X b) Find the absolute maximum and minimum values of function f(x)= (1+x?)Ě over the interval [-1,1] c) Find the following for the function f(x) = 2x – 3x – 12x +8 i) Intervals where f(x) is increasing and decreasing. ii) Local minimum and local maximum of f(x) iii) Intervals where f(x) is concave up and concave down. iv) Inflection point(s). v)...
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives...
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
Which function below is the inverse of f:R-{2} → R-{3} ut of f(x)= -3x+1 X X-2...
Which function below is the inverse of f:R-{2} → R-{3} ut of f(x)= -3x+1 X X-2 Select one: O a. f-1: R-{3} → R-{2} f'(x)=2x+1 X-3 O b. f-1: R - {2} → R-{3} F"(x) = 2X+1 X-3 f-:R-{2} → R-{3} f(x)= x-2 3x + 1 O d. f-1: R - {3} → R-{2} ... X-2 hook....pdf - POS Week 171 ..hantal ob. F-R-{2} → R-{3} F-1(x)=2x+1 3 F-1R- {2} → R - {3} X-2 pe d. f":R-{3} → R...
such that F[ X 3, 13-2, E1% -4, VX-2, VX-1 and V[85] -4. Find the expected...
such that F[ X 3, 13-2, E1% -4, VX-2, VX-1 and V[85] -4. Find the expected value of -2X;. QUESTION 13 Let the independent random variables X. X, and 3%, and the variance of U-2. BARU-12. VU - 12 . BU-0, V[0] = 12 BC.EU - 4, VIU] - 4 D. None of the other three answers
Evaluate the following f(x)=x2-1 and g(x) = 3x +5
Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
a) b) 54-1+1 Use logarithmic differentiation to find the first derivative of y= (3x² +2) 13 Evaluate the integration I, where I = dt 5t2 3 If f'(x) == Vx+ and the curve f(x) passes through the point (0,2) 2 2 i) Find f(x) 11) Find the local extreme (if any) of f(x) using second derivative test. d) Evaluate using integration by parts: 5 (0)do, where f(O)=(0+1) sin 30 Page 4 of 5
FIND THE DERIVATIVE OF THE
GIVEN FUNCTIONS!
2. f(x) Vx+3x-1 3. f(x)=x(x -x)
TUTI) 8. and h(x) = 3x - 2, a) If g(x) = 2x + 10 3 Find: - (3 marks) and express in its simplest form g[h(x)] = find f'(x) b) If f(x) = = 2x - 1 3x + 4 (4 marks)
2.9.19 If a function f has an inverse and f(-3) = 2, then what is f-1(2)? 7+(2)=0 2.9.33 2x+8 3x - 8 Consider the functions f(x) = 7and g(x)=3-. (a) Find f(g(x)). (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? f(g(x)) = (Simplify your answer.) % 2.9.27 For F(x)=x2-5, find each of the following a. f(0) b.-1(-5) c. (fof-1/(507) a. f(0) = -5 b.t-1(-5)=0
a) Verify the Rolle's theorem for the function f(x) = -1 x +x-6 over the interval (-3, 2] 3-X b) Find the absolute maximum and minimum values of function f(x)= (1+x?)Ě over the interval [-1,1] c) Find the following for the function f(x) = 2x – 3x – 12x +8 i) Intervals where f(x) is increasing and decreasing. ii) Local minimum and local maximum of f(x) iii) Intervals where f(x) is concave up and concave down. iv) Inflection point(s). v)...
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
Which function below is the inverse of f:R-{2} → R-{3} ut of f(x)= -3x+1 X X-2 Select one: O a. f-1: R-{3} → R-{2} f'(x)=2x+1 X-3 O b. f-1: R - {2} → R-{3} F"(x) = 2X+1 X-3 f-:R-{2} → R-{3} f(x)= x-2 3x + 1 O d. f-1: R - {3} → R-{2} ... X-2 hook....pdf - POS Week 171 ..hantal ob. F-R-{2} → R-{3} F-1(x)=2x+1 3 F-1R- {2} → R - {3} X-2 pe d. f":R-{3} → R...
such that F[ X 3, 13-2, E1% -4, VX-2, VX-1 and V[85] -4. Find the expected value of -2X;. QUESTION 13 Let the independent random variables X. X, and 3%, and the variance of U-2. BARU-12. VU - 12 . BU-0, V[0] = 12 BC.EU - 4, VIU] - 4 D. None of the other three answers
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
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