Compute the right-hand and left-hand derivatives as limits and check whether the function is differentiable at...
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
I don't understand how they got these numbers. Use the graph of the greatest integer function, y LxJ, to find the limits given below. LeJ (a) lim LO」 (b) lim 0-4 (a) Select the correct choice below and fill in any answer boxes within your choice LO」 A. m(Type an integer or a simplified fraction.) B. The limit does not exist. (b) Select the correct choice below and fill in any answer boxes within your choice. LeJ lim- 5 (Type...
Compute the partial derivatives of the function at the given point, and determine what the total derivative would be if the function was differentiable there; then determine whether it is differentiable or not by definition; that is, determine whether or not 0. 22+y2 (x,y) # (0,0) fão + n) – $(20) - Df#, (h) lim ho hi 4. h(x, y) = 0 (2,y) = (0,0) at (0,0); 5. g(x, y, z) = x + 3y - 2 - 1 at...
Step 7 of 9 Find lim f(x) by looking at the right-hand and left-hand limits as x approaches 0. X-O x? - 49 lim f(x) = lim x-0 xto x² + 7x X and the denominator approaches As X - 0 , the numerator approaches zero by negative numbers Ther Enter a number. x2 - 49 +00 lim x-o- x² + 7x X and the denominator approaches As x - 07, the numerator approaches zero by positive numbers Therefore x²...
real analysis 1,2,3,4,8please 5.1.5a Thus iff: I→R is differentiable on n E N. is differentiable on / with g'(e) ()ain tained from Theorem 5.1.5(b) using mathematical induction, TOu the interal 1i then by the cho 174 Chapter s Differentiation ■ EXERCISES 5.1 the definition to find the derivative of each of the following functions. I. Use r+ 1 2. "Prove that for all integers n, O if n is negative). 3. "a. Prove that (cosx)--sinx. -- b. Find the derivative...
#23. Use the limit definition of the derivative to show why f(x) = (x - 5) is NOT differentiable at x = 5. (Hint: Compare the left- and right-hand limits of lim nits of lim f(5+h)-f(5) 102.) Is f(x) = (x - 5)% continuous at x = 5? What does the tangent line at the point (5,0) look like? 0
Show that the function on the right is a probability density function on [0, 0); then find the indicated probabilities. if O sxs 2 f(x) = 128 5, if x > 2 375, Choose the procedure below that you would use to show that f(x) is a probability density function on [0, 0). O A. Show that f(x) 20 on the interval and that the integral of f(x) from 0 to o equals 1. B. Show that f(x) > 0...
sin Use the relation lim 00 = 1 to determine the limit of the given function. tan (4x) f(x) = х tan (4) lim x0 Х (Type an integer or a simplified fraction.)
I just need the correct answer, thank you Suppose the speed of a car approaching a stop sign is given by it:- (-10° for Osts 10, wharets measured in seconds and it is measured in meters per second a. Find v' (3) b. Interpret the physical meaning of this quantity a.V13- Find the derivative of the function and then evaluate at the given point. y = 4x2 – 3x, (-1,7) f'(x)= Enter your answer in the answer box and then...
5. This problem concerns a function , about which the following information is known . fis a differentiable function defined at every real number x. y-f'(x) has its graph given in the middle picture below S. This problem concerns a function f, about which the following information is f is a differentiable function defined at every real number x. y(x) has its graph given in the middle picture below. Construct a first derivative sign chart for f. Clearly identify all...