please show step by step , thank you ! Find without using the quotient rule; rather,...
please help me answer All of these questions. Thank you! 1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
1120 Page 1 of 1. Find the derivative of the function y = + + x2 using (a) the quotient rule (b) the product rule (without using the quotient rule) (c) the power rule (without using the product rule or quotient rule) For cach, clearly show and/or explain how to use the respective rule to find the derivative. (d) Which method, (a), (b), or (e), do you think is best for finding this derivative? Why?
10. (-/6.25 Points] DETAILS LARCALC11 2.R.037. Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 4x sec(x) 11. [-76.25 Points] DETAILS LARCALC11 2.R.050. Find the second derivative of the function. h() = 18 cos(t) - 17 sin(t) h"(t) =
Please show step by step. Thank you. Find the derivative of g(x) = (sec x lnx
Use the quotient rule to find the derivative of the function. p(t) = 2t - 1 p't) = =
Use the Chain Rule and the fact that d (r)-L,o find the derivative of (b) Rewrite f(x) as a piecewise function not involving the absolute value function. (c) Find the first and second derivatives of f(x),using your piecewise function. (d) Would you want to find" without the function's piecewise representation? 2. A square and a triangle are to be cut from a piece of fabric 1 metre square, as shown Find the length which minimises the removed area ar Use...
This Question: 5 pts 13 of 20 (5 complete) Use the quotient rule to find the derivative of the given function. Then find the derivative by first simplifying the function. Are the results the same? 5w-W h(w) = w What is the immediate result of applying the quotient rule? Select the correct answer below. O A. (1562-1)(w)+ (5wº - w) (1) w(15w2 - 1) - (5w-w) (1) OB O c. 10w OD. 5w2-1 What is the fully simplified result of...
Thank you. - Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and y be differentiable functions of x. Find the value of the indicated derivative using the given information. Pay careful attention to notation. du Find dx v at x =1 if u(1) = 3, u'(1)=-5, v(1)=7, v'(1)=-3
Please provide all steps: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by multiplying the expressions first. y= (57x + 3) x2 a) Use the Product Rule to find the derivative of the function. Select the correct answer below and fill in the answer box(es) to complete your choice. O A. The derivative is (57x + 3) x2 + . OB. The derivative is ( x + ( vx. O C....