X = Xo Give an example of a function f such that the derivative of Så fl+dt at does not equal f(xo). Also assume integrable on [a,b] and acxo Lb. f is

Q: Is there a function f(x, y) such that fx : one. If not, explain the reason = e* cos y and fy : = e*…

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Q: The maximum directional derivative of f(z,y,2) sin(zy)-ya +10 at (-1, 2, 0) is Question 5

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Q: Assume that f and g are harmonic functions in R^n. Show that div(f ∇g − g∇f ) = 0.

A: Ans- We can start by computing the divergence of the vector field F = f∇g - g∇f:

Q: aw aw = f(s³ + t²) and f'(x) = e*. Find and at əs Assume that w=f[s]

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Q: Why is the function f(x)= cotx not differentiable on the interval [0, pi] ?

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Q: Assume that f : (0, 1) → R is a differentiable function with the derivative f' increasing on (0,…

A: Given f:0,1→R is a differentiable function and derivative of f is increasing in 0,1 that is f'x>0…

Q: Integrate to find F as a function of x and demonstrate the Second Fundamental Theorem of Calculus by…

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Q: Find all of the critical points of the function f(x, y) = x²y². Can the second derivatives test be…

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Q: 2 3 4 5 6 x) 5 6 3 2 9 (x) 4 -1 1 2 ompute -3 نه نه -2 2 7 3 O [ 5 f'(x) dx.

A: we will find the required.

Q: Q6: A: If f(x,y)=ycos⁡x+xe^y.find f_x,f_y,f_xx,f_yy,f_xy B: Find the derivative of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x) = x?sin (-) for x + 0 and f(0) = 0. c) Show that f'is not continuous at x = 0.

A: Given function  f(x)=x2 sin1x      for x≠00                  for x=0 we have to show that f' is not…

Q: In calculus, the derivative of f (x) is denoted by f '(x), andthe value of the derivative at x = a…

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Q: Define f = sin(px^3)+cos(qx)^2 as a function of x (with p and q constant) and differentiate with…

A: see 2nd step.

Q: Consider a function f continuous and differentiable on R with f(2. 5) = -3. 1 and f'(2. 5)=-0. 2.…

A: We have to find

Q: Q2) Find the derivative of f(x)(Hint: use the fundamental theorem of calculus -part f(x)= | 1+2x t…

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Q: Let F (x) : tan't dt. Find F' (V3 -1, 4 27

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Q: please give step by step answer.   let X have the PDF fx(x)={X^3/4,0<x<2 0,elsewhere a)let Y=X^2…

A: The problem can be solved using the concept of pdf. please find step by step solution below.

Q: Where is the function f(z) = Log(z2 + 1) holomorphic? What is its derivative in the region where it…

A: The function f(z)=log(z2+1) is holomorphic in the region where its argument, z2+1,does not vanish.…