8. x' x, x(0) = - (-³)

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

A:

Q: 39.3

A:

Q: Find the derivative of P(x) = -8x¹/9 - 3x -7 Write your answer using negative exponents. P'(x) = =

A: Given,

Q: Givenf''(x)=9x−1and f'(−2)=6 and f(−2)=3.   Find f'(x)=and find f(3)=

A: Given the function:

Q: 4. f(x) = 4x3x =

A: Please see the below picture for detailed solution.

Q: Differentiate. h(x) = In(xe-2*)

A: First simplify the given function using properties of lograthim than simply take the derivative.

Q: 2 (0) IF F(x)= x 'e', Find f'(x) and F (1)

A: Finding the derivative of the function.

Q: Simplify erf (x¹) dx

A: Simplify ddxerfx4

Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: -7 Let f(x) 7xVI + f'(x)

A:

Q: 4y'''+12y''+13y'+10y=0

A:

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: 3. y' = 3x? –2; y(1) = 5

A: When the linear differential equation is in the form, dydx+py=Q    ..........1 Then the solution of…

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: y''''' - 3y'''' + 3y''' - y" = 0

A: To solve y""'-3y""+3y"'-y"=0

Q: 6. If f(2) = 3,f'(2) = 5, g(2) = –1, and g'(2) = –4, find (f g)'(2).

A:

Q: Solve X'

A:

Q: b) y= In( see x)

A: Answer and explanation is given below..

Q: 7 If f(x) = 2 + find f'(x). x2 - Find f'(4).

A: ddxxn = nxn-1

Q: 2 7. Evaluate f' (-1) for f(x) =- x X3

A:

Q: Find the derivative of C(x) C'(x) = C

A:

Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

A:

Q: If f(x) = (3x + 8), find f'(x). %3D Find f'(1).

A: Note some formule:

Q: y-y-coshx Ans.

A: