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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
Question 5 Not yet answered Marked out of 12.00 P Flag question Evaluate the following integral cos(3x) y = 502 dx 4. r Select one: O a. y=-1 O b.y= -3 O c.y = 3 4 O d. y = 7 12
a dy If a ERI{-1} and b ER\{1}, the solution of x dx + y= a +1 1-b -xyb is 1-b Select one: 1. y-b = x+c+ xa b. yb=1 = x+c+xa O c.y? -b = x + c O d. y1= b = x+cx-a e. y = x+c+x-a O f. y = x+c+xa-1 o g. -b = x+c+x-a 0 h. y1-b = c+x-a
5. Solve the initial-value problem associated with the linear first-order ODE z y + * In(x) y = 2e3x y(1) = 0, O O where the prime stands for differentiation with respect to x. O A. y = r-> (3x + Ke"), where K is an arbitrary constant. B.y=r" (e3+ Ke*), where K is an arbitrary constant. C.y=r-(+2 – 23). OD. y = x* (032 – *+2). O E. y = x-P(.38 – 42+2). OE y = x? (032 –...
Consider the following. 7 g(t) = 846 Find the first derivative of the function. g'(t) = Find the second derivative of the function. g"(t) = X Use the General Power Rule to find the derivative of the function. 1 y = 3 (8 - x3,8 y' = Find the derivative of the function. 3 8x 5 Y= 뉴 4-X y =
is: 6. (8 points) / is a function that is continuous on (-0,00). The first derivative of /"(x) = (3x - 1)x+3X5 - x) Use this information to answer the following questions about : a. On what intervals is increasing or decreasing? Internal in which fis increasing or -- 8x-1) (x+3)(5-x) > 0 x=112, -3, -5 b. At what values of x does f have any local maximum or minimum values? - V2 ; Location(s) of Minima: Location(s) of Maxima:...
What is the derivative of the function f(x) = -26? 4.26 Select one: 3 27 O a. O b. - 3 225 3 2.5 O d. 3 237
Find the general solution of y” + 4y' + 5y = 0. Select one: • a. y = {-2x (cos(x) + sin(x)) b. y = e-24 (A cos(x) + B sin(x)) c.y = Cje-2x (cos(x) + sin(x)) O d. y = e*(A cos(2x) + B sin(2x))
7. Use the Logarithmic laws to simplify y first and then find the derivative y'. 5 x +3 (a) y = log1 (3+5)4 (b) y = log (1+) 8. Use logarithmic differentiation to find y' if y = 3+ (x - 2) x41x + 5 (b) y = a. 12.0 (C) y = (1+ (Use the result of Q7(b))
-1 CSC х The derivative of the function y at a 1 is equal to I Select one: a. -1 b. Does not exist e c. O d. 1 The derivative of the function e5z - In z is equal to Select one: e5z-In 1 5 b.e х C. e5z-In z -5 d. e5z-Inz T