You should ask maximum 4 questions at one time.
1. Find and simplify the derivative of each of the following functions: In(2 1) 2x 1)...
2. (4pts each) Find the derivative of the following functions: You do not need to simplify the answer. CIRCLE FINAL ANSWER. a. f(x) = 2x2e-1 + 7e2x-1 + 3e2e cos (36) b. g(t) = 1+sin(3) c. h(x) = ln(x2). arctan(kx) (k E R) d. f(x) = sin(x) sin(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
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)...
1.Find the derivative. You do not need to simplify your answers (a) f(r) = 2v#In(a) 5e 3r r2-4x+ 1 (b) g(x) 1.Find the derivative. You do not need to simplify your answers (a) f(r) = 2v#In(a) 5e 3r r2-4x+ 1 (b) g(x)
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)
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...
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Please show all work! :) Find the derivative using any method. You don't need to simplify. a. (2 points) f(x) = 2x11 – 17 + b. (3 points) f(x) = x2 tan-1 x c. (3 points) f(x) = d. (2 points) f(x) = ln(33 – 7x)
(15 points) Find the derivative of the following functions. You do not have to simplify answers. ecos (22+2+1) 1. (5 points) f(x) = 2. (5 points) g(x) = So" con (+0+1)dt + So sin tdt 3. (5 points) h(x) = Licen (o? +++ 1)dt