3). Find the indicated derivatives in each problem.( answer each). A). /(x) = 0.4x3 - 2.1x...
Find the indicated integral. Check your answers by differentiation. 1) du The slope f '(x) at each point (x, y) on a curve y = f(x) is given along with a particular point (a, b) on the curve. Use this information to find S (x). 2) f'(x) = 9x2 - 8x + 2; (0,7) 2) A) f(x) - 3x3 - 4x2 + 2x - 7 B) Ax) = 3x - 8 C)/(x) - 9x3 - 8x2 + 2x + 7...
The slope S'(x) at each point (x, y) on a curve y = S(x) is given along with a particular point (a, b) on the curve. Use this information to find S (x). 2) f'(x) - 9x2 + 8x + 4; (0, 3) 2) A) (x) 2x+ B) f(x) = 3x3 + 4x2 + 4x - 3 of(x) = 9x3 + 8x2 + 4x + 3 D)/(x) = 3x + 4x2 + 4x + 3
Please tilt your head sideways and do problem 1 thanks Uperations on Polynomials Perform the indicated operation. 1. a. (3x +1) b. (3x +1)(3x-1) 2. a. (9m-5)-(9m+5) b. (9m-5)09m+5) c. (9m-5) 4x2 +8x-1o 2 b, 4x+8-10 3. a (4x2 +8x-10)-(x-1) 2x-1 3y2-15y +4 3 3y2-15y +4 3y +6 c. (3y2 -15y +4)+(y+6) 4 a.
Find the indicated composition of functions. f(x)= x² + 4, g(x) = 2x - 5, (fog)(x) = ? off g)(x) = 2x3 - 5x2 + 8x - 20 off g)(x) = 4x2 + 29 og)(x) = 2x2 + 3 of g)(x) = 4x2 - 20x + 29 O(g)(x) = 4x2.21
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
Question 2. (20 points, 4 each) Apply the basic differentiation rules to find the derivatives of the functions given below. (a) f(x)=In(5x2+3x) - 2Vx3 (b) f(x)=(x2-3) (e3x-1 +2x) (c) 2x4+7xy+5x3=120 (d) S¢ + x)dx (e) S(x2 + e2x)dx
CALCULUS EXERCISES 1. (10 points) Derivatives. Calculate the following derivatives: (a) f(x) = 67 (b) f(x) 32 +8x? (c) f(x) = (6x ) (d) f(x) = (e) fix,y) Inix + 2) + 2xy + 2. (20 points) Optimization. Check if the following functions have a global optimum, and if so, whether is a minimum or maximum. (a) f(x)=-20-42+4x (b) f(x) 100+62-8x 3. (10 points) More optimization. Explain the intuition behind the first-order condition of an opti- mization problem. APPLICATIONS
find all first partial derivatives f(x,y)= 5x^3+4y-3 Find all first partial derivatives. f(x, y) = 5x3 + 4y - 3 f(x,y) = f(x,y) =
. Find the first derivatives (dy/dx) for each of the following functions. Do not need to simplify. (3 points each) A. y = (2x^5 + 3x^3)^2 B. y = (8x^3-56x^2+3x)/(x+12) C. y= (6x2 + 3x) (x – 4x3)
please answer 5 & 6. thank you! For each problem, find the intervals where the function is increasing and decreasing. (12 pts each) 5) f(x) 2x x + 3 6) f(x) = x2 - 4x² + 7