To find the instantaneous rate of change at x=3
The instantaneous rate of progress is the rate of progress of a capacity at a specific time. Whenever given the capacity esteems previously, amid, and after the required time, the instantaneous rate of progress can be assessed. While appraisals of the instantaneous rate of progress can be discovered utilizing qualities and times, a correct count requires utilizing the subordinate capacity. This rate of progress isn't equivalent to the normal rate of progress.
To find the instantaneous rate of change at x=3 Using the definition f(x +Ax) -...
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...
Find instantaneous rate of change for t(x)=3sinx +3, x=a Find Average rate of change for t(x)=3sinx +3, [a,b] for any value of a and b
2. Given f(x) = find the derivative using the definition of derivative. 3. Find A and B given that the function, f(x), is continuous at x = 6. V | f(x) = {B (Ar - 42 > 6 4. Find the slope of the tangent line to the curve 2.2 - 2xy + 3y2 = 10 at the point (1,2).
15. Find the instantaneous rate of change of f(x) = 4x - 2 at x = 5 16. Find the slone of the tangent lino to 2
Use the given definition to find (A): If F(x) = + ax + 2x2 + + anten is a polynomial function, then for a square matrix A, RA) = aol +374 +374? ++ Rx) = 4 - 9x + x? 1x) = 4 - ****, --17:) A) -16 0 It 14 4 1
h h-0 f(x +h) – f(x) a. For the following function, find f using the definition f'(x) = lim b. Determine an equation of the line tangent to the graph off at (a,f(a)) for the given value of a. f(x) = (3x +7, a = 6
send help for these 4 questions, please show steps Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ax +f(x2)Ax+...+f(x)Ax] - 00 Consider the function f(x) = x, 13x < 16. Using the above definition, determine which of the following expressions represents the area under the graph off as a limit. A. lim...
20 marks) 1. Estimate the instantaneous rate of change of f(x) - x at x = -3. X+5 2. Given f(x) = (x + 5)(x + 2) and g(x) - -x? - 10x - 10, determine when g(x) <f(x). wwrrr 4. Solve the following inequalities using an algebraic method. vvv X X+4 X+4 < x
(1 point) Definition: The AREA A of the region that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R, = lim [f(x)Ar + f(x2)Ax+... +f(x,y)Ax] 100 Wspacelin (a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x3 from x = 0 to x = 2. 64 A. lim 7100 11 i= B....