2. (4pts each) Find the derivative of the following functions: You do not need to simplify...
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 and simplify the derivative of each of the following functions: In(2 1) 2x 1) tan 1In(tan) (a) (x)In (b) f(x) = (412-1)3 In(4z?-1) (g) f(r)-n (n) f(x) = ln(sec 3r-tan 3r) 1 +x ln a
(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
4pts each] 12. Find y'. Do Not Simplify the derivative. You may need apply the chain rule. 1) y = 3-0.7r? -0.3x? ii) ya 1-X 111) y = 2tanºx-secºx iv) y=x* cot5x 1) y=1 *1
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)
please show all work thank you 2. (4 points each) In the space provided, take the derivative of each of the following functions. Make sure to use the appropriate notation for the derivative of the given function. (a) y = sin(x2 – 7) (b) y = (cos x)(tan x) (c) g(x) = (d) G(x) = sin? (720) 3х (e) y = x2 (f) F(p) = (1 – 4p2)3 (g) y = [arctan(t)][In(5t)] – 4 (h) f(x) = V5x3 – 7x...
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...
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)
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)