12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

Q: FIND F'): a. (ax+)*

A: TO FIND: f'(x)

Q: そっ tax)= x-3x- Finel (t-'j'(-1)

A: Inverse of function y= f(X) is defined as the  X = f-1 (y)

Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: Find the derivative of: h(w) = 3w + w^4/(2w^2 + 1)   [4w^5 + 4w^3 - 6w^2 + 3]/(2w^2+1)^2 [4w^5 -…

A:

Q: Given fex) End (f-')'(5) 2X

A:

Q: (4) VL1, L2 ((L1 UL2)* = L₁* U L₂¹).

A: This is always True

Q: Ok, but how do you find Fxy = 0? I do not understand how we recieve Fxy?

A: Given function:- fx,y=x2+y2-2y

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: f6) =V20x (?,) f'G) f'(x)

A:

Q: det(A) Show that det(AB-') = %3D det(B)

A: Consider, Let A and B be the two n×n matrix, Now Consider, detAB-1 We know that the theorem, Let A…

Q: хах Vx2-6х +13

A: Let I is the value of given Integral.

Q: If f(z) = z^(i-3), then compute f'(2) show full working

A: The given problem is to find the value of derivative of f(z) at z=2 , f'(2). Given complex function…

Q: | In|Vi + 1| dx

A:

Q: The simple poles of f(z)=(z^2-3)/(z^2+5z+4)

A: To find: The poles of the given function. Given information: The function is f(z)=z2-3z2+5z+4.…

Q: A = [-2 3] 1 4

A: Given, A=-2314 AT=-2134

Q: Let f(x,0) e*(1 – 0)"¯, then the exponential form for this pdf can be written as expin)-x innti - 6)…

A: The given statement is false. Therefore the second option is correct.

Q: If |z|=1,show that (z^-1) =(z congegate)

A: Given z=1 We have to show that z−1=z¯ Since, z=1 ⇒z2=1 We know that z2=zz¯

Q: Show /x^ In х dx xn+1 ((п + 1)In x — 1) (п+1)2

A:

Q: P(0) = {0} O P(A^) \ {0} C P(A)°

A:

Q: x2 dx zX - biN 円-X

A: We will use substitution to solve this

Q: Find domain of the follaw ing fanctionss (^) f(x)= In-2) (6) 67 F=

A: fx=lnx-2 the log function is defined for only positive real numbers so the value of x-2 should be…

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: p5 _3ar4 +23r2 h (r) 4r2

A: Given that h(r)=r5-3αr4+2βr24r2 We need to find out derivative of h(r) respective to r.

Q: show that e^(4t-3t^2) cannot be a moment generating function

A: Moment Generating Function:                The Moment Generating Function is the expected value of…