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Find the derivative of the following function. p=2qer A) p = 24" (69* + 1) B)...
Q1. If g(x)=4cosx, then a) 4sinx b) -4 sinx c) -4cosx d) 4cosx Q2. The derivative of the function f(x)=-9x2 + 5x at x=-3 is a) -10 b) 41 c) 36 d) -49 x54 Q3. If g(x)= 3x +6x, *S*. then lim g(x)= =........ 8x+10, a) 48 b) 24 c) 72 d) 42 Q4. Find: lim (5+h)-25 Q5. Find: limano sin Q6. If y=x-*+cosx , then finden Q7. Using the definition, determine whether the function X57 is continuous at x=7....
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
Use logarithmic differentiation to find the derivative of the function. y = 6 Select one: a. y' = 6x®(6 Inx+1) b.y' = -6x®*(Inx+6) о C. y' = 6(Inx+1) d. None of these e. y' = 6x®* (In x + 1) f. y' = x* (In 6x + 1) o
a. Find the derivative of the following function Y= Inx a.
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
please explain the steps to your solution using Microsoft excel to
Compute the answer
7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1.
7) From x-1 tox-2, find the values of the function whose derivative is dy Inx) + xy dx using the 2"d order Runge-Kutta approximation and a Ax of 0.1. At x 1, y-1.
QUESTION 4 Find the derivative of the function. OOOO QUESTION 5 Find the derivative. OOO y = 4x2 + 7x + 3e * 8x + 3e* 8x + 7 + ex 8x + 7 + 3e* 4x + 3e* + + QUESTION 6 Find the derivative. y = 14 - 7x2 14 - 14x 0-14 14 - 7x O-144
Part IV: Applications Consider this function, along with its derivative and its seco derivative: 48(16 + 3r2 У -(a,2 - 16)3- (a2 16)3 48x 2228 y'-(2.2-167. The following 3 questions refer to the above function 16. What are the all the asymptotes? A. Vertical asymptotes at x = +2, x =-2 and a horizontal asymptote at y 2. B. There are no vertical asymptotes and a horizontal asymp- tote at y 2 C. Vertical asymptotes at +4, -4 and no...
(a) Find the derivative. y = In(4x – 5) – 3 In(x) dy dx (b) Find the derivative. 4x - y = = In dx State whether the function in part (b) is the same function as that in part (a). The function in part (b) is the same function as that in part (a). The function in part (b) is not the same function as that in part (a).