Find an antiderivative for each function. Check your answers by differentiation. = (iv) 1-8csc 2x (v)...
1). 2). 3). Find the most general antiderivative of the function. (Check your answer by differentiation. Use for the constant of the antiderivative. Remember to use absolute values where appropriate) 9x) = 1/3 - 2/3 x>0 Find the antiderivative F off that satisfies the given condition. Check your answer by comparing the graphs off and F. f(x) = 5x4 - 8x5, F(O) = 2 F(x) = 2 The speed of a runner increased steadily during the first three seconds of...
Find the most general antiderivative or indefinite integral. Check your answer by differentiation - 3x + (+7) dx {(5x14 - 3x+7) dx = 0 Enter your answer in the answer box
Find an antiderivative of the function f(x) = 2x® (3x? +4)? What is a possible antiderivative of the given function? O A. F(x) = 6 (3x® + 4) 3 OB. F(x) = (3x® + 4) 3 OC. F(x) = (3x +4) 3 OD. F(x) = § (3x?+4) 3
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...
19. (-/3.2 Points] DETAILS SCALCET8 4.9.021. Find the most general antiderivative of the function. (Check your answer by differentiation. f(x) = 2x4 + 7x3 - X > 0 x3 - F(x) 20. [-/3.2 Points] DETAILS SCALCET8 5.3.035. Evaluate the integral. v3 + 445 S v1,00 dv
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
For the following function f, find the antiderivative F that satisfies the given condition. л T 5 f(v)= = sec v tan v, F(0) = 4, 6 2 2 F(v) = AY Use the figures to calculate the left and right Riemann sums for f on the given interval and the given value of n. f(x)= 3- 3- xi'w 3 f(x) = on (1,5); n = 4 X х 4 5 0 1 4 5 The left Riemann sum for...
Use logarithmic differentiation to find the derivative of the function. y = (tan(x))2/ 4 cos ec(2x) y' = 2 ln(tan(x)) 2 Need Help? Read It Watch It Talk to a Tutor Submit Answer 13. [1/1 Pointsi TOT
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x) a) f(x) = 1-tan(x) b) f(x) – tan-" (4x²) dy 12. Consider the equation x² + xy + y² = 1. Find an expression for by implicit differentiation. dx
Find the most general antiderivative of f(x) =(1/3x) − 2sec^2(x/2)−e^−2x+3 SHOW ALL WORK