Find the derivative of the following. ga) - J. (+ vt - t) dt g'(x) =...
Let F(x) = ſ vt(t+1) dt. Find F'(x) (again, the derivative!!). In()
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
8. Find the derivative of F(x) = 322(t + 2) dt
Given g(x)= $*(** +VT)dt, use the Fundamental Theorem of Calculus, Part 1 to find g'(x). Show all steps using proper Leibniz notation.
Consider the following. 7 g(t) = 846 Find the first derivative of the function. g'(t) = Find the second derivative of the function. g"(t) = X Use the General Power Rule to find the derivative of the function. 1 y = 3 (8 - x3,8 y' = Find the derivative of the function. 3 8x 5 Y= 뉴 4-X y =
Consider the signal x(t) = te-atu(t), a > 0 Find to = 1.00 /*(t)?|dt Find to = 10lx(t)2|dt Can simplify to → %*tx?(t)dt x2(t)dt
8. [0/5 Points] DETAILS PREVIOUS ANSWERS Find the derivative of the function. f(t) = 43/2 log&(vt + 3) 1 3x?loge (Vx+3) 3 2 f'(t) = X + 2 2 ln(6)(x+3) x
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 < <
Unanswered 0/2 pts Question 18 Let G(X) = Set (t? - sin(t?)) dt. Find G'(x). Correct Answer O evo [c2x – sin (e24)] sin (22) - 230 -e* [e2+ sin(e200)] 2xe 2.2 + cos(e230) 23 2* — sin (2) None of these
Find the derivative of the function. g(x) = 800(3 - e-0.1x) Find the derivative of the function. y = :ets Find the derivative of the function. y = 4e(x2 + 6)3 Find the derivative of the function. y = In(e2x + 3)