QUESTION 4 10 points Save Answer Consider the function g(x)- (t3+1]dt. Calculate the derivative g'(2) at...
Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x)=∫4 x sin(t3)dt F′(x) =
Question 6 10 points Save Ans Determine the partial derivative of the following function with respect to "z" and evaluate at point A:(-3,4,-2): f(x, y, z) = axºyz+b yºxz+cz*yx Uses the following values: a=4; b=3; and c=1.
Calculate the derivative:
Calculate the derivative: de S* (83 – 7t) dt = -7*(x^2/2)+2x^4
please for step 1 & 2!
Consider the following function: 8(x) = 7x3er Step 1 of 2: Find the first derivative of the above function. Answer 10 Points g'(x) = Consider the following function: 8(x) = 7x? Step 2 of 2: Find the second derivative of the above function. 1 Answer 10 Points / / / 2
2. (a) (4 points) Find the Taylor polynomial T3(x) for the function f(z) = zez about a = 1, Please, do NOT use notation, you have to write all terms of Ts and they have to be simplified. b) (4 points) Use the Taylor's inequality to estimate the accuracy of the approximation f(x)T3(x) for くバ, (Do NOT give decimal fractions as your answer, Do NOT use a calculator leave your answer as an algebraic expression.)
2. (a) (4 points) Find...
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
(4 points) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (6 sin^(t) + 2) dt g'(x) =
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
6. o 1 points Use logarithmic differentiation or an alternative method to find the derivative of the function y=x8 cos x Submit Answer Save Progress
11. (7 points) By Fundamental Theorem of Calculus the derivative of a function g(x) = fik sint dt is : A. sina B. cost+sint c. sinx-cosa D. None of the above
QUESTION 4 2 points Save Answer Solve for x. 3*-9x-1 Words:0 ▲ QUESTION5 2 points Save Answer Solve for x. 435)-16 TTI ㄒ˙ ,E.阅-2 QUESTION 6 2 points Save Answer Solve for x. 4X-3- Pathc Words o