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
Find the derivative of the function. 4x-9 y= 7x+4 The derivative i
x²-7 Find all critical numbers of the function y=7-4,#4. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and fill in any answer boxes within your choice. O A. The local maxima occur at x = and the local minima occur at x = (Type an integer or simplified fraction. Use comma to separate answers as needed.) OB. The local maxima occur at x...
Find the derivative. ſot + 7 at O A. V6x +? - V7 OB. ; (6x +7;3/2 OC. 16x+7 3 OD. V6x +7
hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
5 4 3 + - + 6x - 4x + 8)e to Find the derivative of the function. y= (2x3 – 2x2 + 8x - 6)e ** O B. (6x5 - 6x4 + 24x3 – 12x2 - 4x + 8)e O C. (6x5 - 6x4 + 24x3 – 1872)e ** OD. (6x2 - 4x+8)e ** to
Find the derivative of the function. See Examples 1, 2, 3, and 4. y = In(8 - x )
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))
Find the following. 5/2 3/2 f'(4) if f(x) = 9x -7x O A. 159 OB. 96 OC. 6 OD. 8 Find the equation of the tangent line to the curve when x has the given value. f(x) = Tx 5 ; X= 4 4x O A. y=-25 8 5 OB. y = 13x - 16 O c. y= - 39x - 80 х OD. y 1 + — 5 20
7) Find the derivative of the function at P.(-7.-8) in the direction of ū= 121 - 5j for f(x,y) = tan-