Suppose we have the following implicit function: xy=5. Find the value of the second derivative at x=10.2 (Give your answ...
Suppose we have the following implicit function: xy=5. Find the value of the second derivative at x=10.2 (Give your answer to 2 decimal points).
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Suppose we have the following implicit function: xy=5. Find the value of the second derivative at x=10.2 (Give your answ...
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x)...
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x) a) f(x) = 1-tan(x) b) f(x) – tan-" (4x²) dy 12. Consider the equation x² + xy + y² = 1. Find an expression for by implicit differentiation. dx
Suppose we have a function and that f(1) = 5.0 f(1.25) = 6.0 f(1.5) = 8.4...
Suppose we have a function and that f(1) = 5.0 f(1.25) = 6.0 f(1.5) = 8.4 f(1.75) = 2.2 f(2) = 9.3 Use the higher accuracy centered difference formula to estimate the second derivative of at x = 1.5 Give your answer to 1 decimal place. Answer: Given data points 20 = 1, X1 = 8,22 = 14, Yo = 2.8, y1 = 8.4, y2 = 8.1 use linear splines to estimate the value of f(x) when 3= 5.9 Give...
Q2 a) Find the second derivative of the following function y = tan x + sin-1x...
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
Find the critical points of the following function. Use the Second Derivative Test to determine if...
Find the critical points of the following function. Use the Second Derivative Test to determine if possible) whether each critical point corresponds to a local maximum, local minimum or saddle point. Contem your results with a graphing utility f(x,y) = x + xy-2) + 4y - 12 What are the critical points? (Type an ordered pair Use a comma to separate answers as needed.) Use the Second Derivative Test to find the local maxima. Select the correct choice below and,...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second deriv...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
Suppose we needed to calculate the second derivative of f(x) = log(x) at x=4. Use a...
Suppose we needed to calculate the second derivative of f(x) = log(x) at x=4. Use a forward difference scheme to find an Oſh) approximation with a step size Ax=0.21. The log used in this problem is natural log (base e). Input your answer to four decimal places.
Find the derivative of the function at P, in the direction of A. f(x,y,z) = xy...
Find the derivative of the function at P, in the direction of A. f(x,y,z) = xy + y2 + zx, (-2,2,1), A = 91 + 6j - 2k (PAD) (-2,2,1)= (Simplify your answer.)
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
at the point (2, -3). Give an 4. Find the minimum value of the directional derivative of the function f(x, y)- exact answer. 2. at the point (2, -3). Give an 4. Find the minimum value of the dir...
at the point (2, -3). Give an 4. Find the minimum value of the directional derivative of the function f(x, y)- exact answer. 2.
at the point (2, -3). Give an 4. Find the minimum value of the directional derivative of the function f(x, y)- exact answer. 2.
QueBLIUI JI JPLS Find the requested value of the second derivative of the function. f(x) =...
QueBLIUI JI JPLS Find the requested value of the second derivative of the function. f(x) = 7x2 + 9x - 3; Find f"(0). 14 00 -14 Question 32 5 pts Find the indicated absolute extren um as well as all values of x where it occurs on the specified domain f(x) = * x3 - 2x² + 3x - 4; (-2, 5] Minimum 0 -4 at x = 0 at x = -2 atx = 2 Question 33 5 pts...
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x) a) f(x) = 1-tan(x) b) f(x) – tan-" (4x²) dy 12. Consider the equation x² + xy + y² = 1. Find an expression for by implicit differentiation. dx
Suppose we have a function and that f(1) = 5.0 f(1.25) = 6.0 f(1.5) = 8.4 f(1.75) = 2.2 f(2) = 9.3 Use the higher accuracy centered difference formula to estimate the second derivative of at x = 1.5 Give your answer to 1 decimal place. Answer: Given data points 20 = 1, X1 = 8,22 = 14, Yo = 2.8, y1 = 8.4, y2 = 8.1 use linear splines to estimate the value of f(x) when 3= 5.9 Give...
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
Find the critical points of the following function. Use the Second Derivative Test to determine if possible) whether each critical point corresponds to a local maximum, local minimum or saddle point. Contem your results with a graphing utility f(x,y) = x + xy-2) + 4y - 12 What are the critical points? (Type an ordered pair Use a comma to separate answers as needed.) Use the Second Derivative Test to find the local maxima. Select the correct choice below and,...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
Suppose we needed to calculate the second derivative of f(x) = log(x) at x=4. Use a forward difference scheme to find an Oſh) approximation with a step size Ax=0.21. The log used in this problem is natural log (base e). Input your answer to four decimal places.
Find the derivative of the function at P, in the direction of A. f(x,y,z) = xy + y2 + zx, (-2,2,1), A = 91 + 6j - 2k (PAD) (-2,2,1)= (Simplify your answer.)
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
at the point (2, -3). Give an 4. Find the minimum value of the directional derivative of the function f(x, y)- exact answer. 2.
at the point (2, -3). Give an 4. Find the minimum value of the directional derivative of the function f(x, y)- exact answer. 2.
QueBLIUI JI JPLS Find the requested value of the second derivative of the function. f(x) = 7x2 + 9x - 3; Find f"(0). 14 00 -14 Question 32 5 pts Find the indicated absolute extren um as well as all values of x where it occurs on the specified domain f(x) = * x3 - 2x² + 3x - 4; (-2, 5] Minimum 0 -4 at x = 0 at x = -2 atx = 2 Question 33 5 pts...
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