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Name: Lab 3: Differentiation An example to differentiate an expression: To assign the expression 2x-5x+x to...
please answer both questions Use logarithmic differentiation to differentiate the following function. f(x) = e * (5x - 6) f'(x)= Which of the following is the same as 2 In (8x)? (a) In 16+ Inx (c) In (16x) (b) 16 In x (d) In (64x2) List all expressions that are equivalent. (Type a, b, c, or d. Use a comma to separate answers as needed.)
Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2 2??−3 ) 3x+2 Differentiate the function f(x) = x4 ln(5x) + In 2x-3 For full credit show each step. You do not need to simplify the answer. (10 points)
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
#35,37 In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2. 5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2.
MatlabMECE 2350 Numerical Methods Lab 8.1. Differentiate the following function: f(x) = ex -2x +1 and solve its first derivative atx = 8 2. Numerically evaluate the approximated first derivative from the above function at x = 8 and h = 0.15 by the following: (a) Forward finite difference method (b) Backward finite difference method (c) Centered finite difference method 3. Calculate the error of each method by comparing the numerical derivative with the result from problem 1.
find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The average rate of change for f(x) over the interval -2 to 1 is ___. (Type an integer or a simplified fraction.)
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...
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
2. Find the derivative of f(x) = 5(723 – 2x + 1)-3. 3. Differentiate f(x) = (3.2 + 10 – sin x)". O e 99+ ASUS VivoBook