Let F(x) = ſ vt(t+1) dt. Find F'(x) (again, the derivative!!). In()
please do all 3 1. (3 points) Find the derivative of F(x) = (t +2) dt. (You may assume that æ is restricted to an appropriate interval (a, b), so don't bother with any issues about that.) 42.2 - - 6 d. 2. (4 points) Evaluate 2 - 3 3. (3 points) Solve the equation sint dt = 0 for x where < <
Jo (2-x) dx 12. (3pts) Let f(t) be a continuous function. Find the derivative of y = f(x).Sh(t) dt. 12
Find the derivative of the following. ga) - J. (+ vt - t) dt g'(x) = (22=2+x= x2) *
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
57. Find the total derivative dz/dt, given (a) z = x^2− 8xy − y^3 , where x = 3t and y = 1 − t. (b) z = f(x, y, t), where x = a + bt, and y = c + k
Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x)=∫4 x sin(t3)dt F′(x) =
Explain why the derivative of g(x) = 1/1+t^2 dt is NOT g'(x) = 1 / 1+x -cos^2 x using FTC1 and the chain tan x 1 t 2 1 x rule. Find the correct g’(x). Н tan
(1 point) Compute the derivative of F(x) if F(x) = 5 * 31 dt F'(x) = 0 08
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =