

calculus 1/business calculus methods only What is the first derivative of j(x)=e* Inv x2 - 4
3. Find the first derivative of a functionf(x)-ex (a) Use calculus to determine the correct value of the derivative at x = 2. If h = 0.25, (b) Evaluate the second-order centered finite-difference approximation (e) Evaluate the second-order forward difference approximation. (d) Evaluate the second-order backward difference approximation. (e) Create a MATLAB function program, which gives output up to second order centered finite difference approximation of second derivative "(xo). The input arguments aref n (order of approximation, 1 or 2),...
Calculus 4
Let f(x,y) = A)-i-j E) i+j 1. Find the gradient vector Vf (1, 1) at the point (x,y) = (1,1). B) - 1 - 1 D)-i-j 10. . Find the largest value of the directional derivative of the function f(x,y) = ry + 2ya at the point (3,y) = (1,2). A) 53 ' B) V58 C) V63 D) 74 E) 85 y + The function (,y) = 2 + y2 + A) (-3,5), saddle point C) (-1,3), maximum...
(Calculus 1)
tan(3x) 1 - 8-21 e-2 Find the derivative of the integral function H (x) = 4+e-21 dt sin(3x)
Numeric Analysis
1) Letf(x)=- 2x x2-4 a. Approxi the first derivative using central difference and the second derivative mate at x= 1.25 using and h=0.25. (Use 4 decimal digits using backward difference rounding). Approximate f f(x)dx using trapezoidal rule with h-0.5 (Use four decimal digits rounding) c. Approximate S fCx)dxusing 1/3 Simpson's rule with h-0.25 (Use four decimal digits rounding)
4. If f'() = (x2-9) find all first derivative critical values for f(x). Answer and Work Explanation of Work
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
Use Part 1 of the Fundamental Theorem of Calculus 33 to find the derivative of g(x) = ſ et dt. Show your In x work in the PDF version of the test. e* dt. Show your
(1 point) Use the Fundamental Theorem of Calculus to find the derivative. 1fg(x) = { ** tdt then, g'(x) = (x/2)-8
Summer 2020 Calculus 1 Exam#2 (4)
without using the derivative of any inverse trigonometric -1 4. (7 points) Prove that (cos' x) =- dx Vi functions.
Find the indicated derivative for the given function. f"(x) for f(x) = e = x2 {"(x) =