1. Find Derivative: y=2x^3 ln(2x^3+7)
a. y' = 36x^4 ÷ 2x^3+7
b. y'=12x^5 ÷ 2x^3+7 - 6x^2 ln (2x^3+7)
c. y' = -36x^4 ÷ 2x^3 +7
d. y'=12x^5 ÷ 2x^3+7 + 6x^2 ln (2x^3+7)
e. y'=2x^3 ÷ 2x^3+7 - 6x^2 ln (2x^3+7)
f. 2x^3 ÷ 2x^3+7 + 6x^2 ln (2x^3+7)
2. Find exact value of the expression. Sin(arctan(x/4))
a. √16-x^2 ÷ x. b. x ÷√16-x^2. c. undefined. d. √16+x^2 ÷ x. e. 4 ÷ √16-x^2 f.none
1. Find Derivative: y=2x^3 ln(2x^3+7) a. y' = 36x^4 ÷ 2x^3+7 b. y'=12x^5 ÷ 2x^3+7 -...
12. Find the derivative of the following: y = ln(2x + 4x2 - 2x + 4)
Provide an appropriate response. Find the second derivative of the the function y-sin-12x och 1 - 4x2 2(1 - 4x2,32 (1 - 4x2,312 "-4392 Find any 5**v = yn In 5 In y 5x + y -5x + y + in 5-1 5x + y 5x + V + In 5 vin 5 - 1 vin 5-1 Find the derivative of y with respect to x, t, or, as appropriate.y = 4+2ee dee Use l'Hopital's Rule to evaluate the limit....
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
h). Les + -- 1). * * 5). (**-+|-* 2) 45x24 - 1 m). ln x + ln (x-2) = ln (x+4) N). 4sin's - 3 = 0 (Find Exact values, for oʻsx + 360°) o). VT CSC*x + 2C5C * -o (Find Fract wlues, for o'z *5360") 3), kindly draw the graph of each function. ). Find and show the Y and y intercepte. Find and show all asymptotes, if they exist a). FC) -38+ b). 90%) = (x-3Xx+2)...
1026) Find the derivative of y=(3x^(1/4) - 9x^(1/7)) ^8, when x-5. ans: 1 3 allchr 1028) Find the slope of the tangent to the curve y=6/(4-6x) at xi=4. ans: 1 3 allchr 1030) Find the slope of the tangent to x^2+y^2-11^2 at x1-5 in the first quadrant. This is the equation of a circle ans: 1 3 allchr 1032) y=(x2)/(x+3).Y A /((x+3) B). Find A,B. ans : 2 3 allchr
please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
b) Show that (1+i) is a zero of F(x) = 2x^5 - 9x^4 +12x^3 -4x^2 - 8x +4 c) Find all of the ZEROES of F(x)
4) For each of the following, find the limit. Answers could be a number, 09.-00, of D.. answer is a number, give the exact value: do not give decimal approximations a) limIn(2* sin(2*)+3%) x-0 7-V5x2 +20x Ans sec-(x) - b) lim x+V2 - logs c) lim (Vin (6x) In(5x) + ln(2x) – In(7x)] e n Ans_
1. Find the derivative. sex (28* + 13 (2x + 1)2 (2X+1) ex (2x + 1)2 2. Solve the given differential equation where the function is subject to the given conditions) by using Laplace transforms. y' + 9y = 0, y 0 --1 y=-et y=-e y = e-9t y = 9et 3. Find the derivative. + y=2 sin x + 8x3 cos x4 8x* cos x X COS X 8x3 cos x3 Please tell which one is the correct choice
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