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).
Explain why the derivative of g(x) = 1/1+t^2 dt is NOT g'(x) = 1 / 1+x...
Find the derivative of the following. ga) - J. (+ vt - t) dt g'(x) = (22=2+x= x2) *
8. Find the derivative of F(x) = 322(t + 2) dt
Use the Chain Rule to find dz/dt. z = sin(x) cos(y), x= VE, y = 7/t dz dt 11
1. +0/1 points | Previous Answers TaalmanCalc1 12.5.021 Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable d when z 12 sin x cos y, x -e, and y - 113 d 12e c 11s396?sin(^sin(113) 2. 0/1 points | Previous Answers TaalmanCalc1 12.5.022. Use the Chain Rule to find the indicated derivative. Express your answer as a function of a single variable dz when z = 7x10ey, x = sin...
(1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) = (1 point) Use Part I of the Fundamental Theorem of Calculus to find the derivative of cos(t2+t)dt n'(z) =
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
Let F(x) = ſ vt(t+1) dt. Find F'(x) (again, the derivative!!). In()
Part 3: The derivative of a definite integral and the chain rule Suppose dt. Use the Fundamental of Theorem of Calculus to calculate 9 +t / Suppose F(x) = f* (510) dt. Use the Fundamental of Theorem of Calculus to calculate on (F(x?). (F(x)) = C
use the chain rule to find dz/ds and dz/dt. z=arcsin(x-y), x=s^2+t^2, y=2-6st. dz/ds=? dz/dt=?
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx