Find the derivative of the following functions. a. Y= 3e+6 b.y= 5 1+82.x
Find the derivative of the function y = 3e (In (82) (Use symbolic notation and fractions where needed.)
Q2.Find the derivative of the following functions: 6 point a) y x5*x7 b) y 1/x-5 c) y = (-)8x6 d) y x.logx
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
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) -
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
6 A Find the derivative of each of the following functions using derivative rules. Remember to SIMPLIFY first! Show all steps for full marks <2 mks each> Differentiate each of the following equations. Be sure to write proper notation. y = 7x6 + 10x4 - 8x - 5 $(x)= V1 f (x) = 7 y = 4x®(3x6 - 2x) f (x) = - s(t)= _4° +56 f(x)g(x)h(x) cf(x) f(x) + g(x)
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
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)...
(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)