Q2.Find the derivative of the following functions: 6 point a) y x5*x7 b) y 1/x-5 c)...
Find the derivative of the following functions. a. Y= 3e+6 b.y= 5 1+82.x
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+
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
(1 point) The derivative of f(x,y) at (0,6) in the direction 85 <7,-6 > is -5 and the derivative of f(x,y) at (0,6) in the < -4, -5 > is 6. direction What is the derivative of f(x, y) at the point (0,6) in the direction < -5,6 >? (1 point) The derivative of f(x,y) at (0,6) in the direction 85 is -5 and the derivative of f(x,y) at (0,6) in the is 6. direction What is the derivative of...
(a) Find the following derivative: d In (5.y dz dB (6 marks) (b) Consider the following bivariate function: g(x,y)exp 8B In (4x2y2)] Find the elasticity of g with respect to x (6 marks) (a) Find the following derivative: d In (5.y dz dB (6 marks) (b) Consider the following bivariate function: g(x,y)exp 8B In (4x2y2)] Find the elasticity of g with respect to x (6 marks)
Signature: 19.( 9 marks) Find the derivative of the following functions. 1. V = 1 " b. y = sinsx - Cos 3x c. y = (sec 5x + tan-'(1 - x)) 20. (6 marks) Find the derivative of the following functions. a) y = ln(1 - 3x) + 4* b) y = -2x + 3x +1
3. Find the derivative of the following functions: (6 points) (a) x2y2- 10 = xey - 10x (b) x*(x+y) y3 (3x - y) (c) yex ycos(x2) dx 17 A is leaning aoainst a wall and sliding towards the floo 3. Find the derivative of the following functions: (6 points) (a) x2y2- 10 = xey - 10x (b) x*(x+y) y3 (3x - y) (c) yex ycos(x2) dx 17 A is leaning aoainst a wall and sliding towards the floo
21. Find the derivative of each of the following functions by applying the product rule a. f(x) = (x2 + 1][2x2 + 3x + 4) b. f(x) = x2 cos x c. f(x) = e* sin x 22. Find Find the derivative of each of the following functions by applying the quotient rule a. f(x) = 22+1 f(x) = (2x + 1] / [x - 3] b. f(x) = x+2x+1 3x + 1 c. f(x) = sing 23. Find the...
5. Find the derivative of the following functions without writing down a single partial derivative. (a) f:R4R2x2 defined by に디2+1: 디.X2 + X". f(x, y, z, w) - 5. Find the derivative of the following functions without writing down a single partial derivative. (a) f:R4R2x2 defined by に디2+1: 디.X2 + X". f(x, y, z, w) -
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)...