let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

Q: Find f'(a). f)t( 1 t² +4

A:

Q: Let f(t) = 3t4 - 6t+ 3et. Then f'(t) =

A: To find f'(t)

Q: Differentiate the following function: VP - 4V U = u =||

A:

Q: 10. Find f if f"(t) = 2/Vt, f(4) = 10, f'(4) =7. %3D %3D

A:

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

A:

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: Let f(x) = 3". As x → 0, what does f(x) → ?

A:

Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

A:

Q: Let f(x) = 3e7x+3 +e². ƒ'(0) = Enter the exact value.

A:

Q: 2 Let f(x) = Compute f'(a). 7x +2 f'(a) = %3D

A:

Q: If f(x) = 2" , then f'(1) = %3D Select one: O a. 1 O b. e O c.0

A: For a function f the derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the…

A: Given: fx=ex2, x=0, 4, E=0.0002 To find: n To find: Approximate integral.

Q: If y=+*+9x²+26x+24 gấp 46 find f'(2).

A:

Q: If $(x) = (x-1)?, X$I, then f lo?

A: The function f (x) is given as: fx=x−12,x≤1Find the inverse of the function  fxy=x−12…

Q: Differentiate y = xx (xnx) In x Inx А. B. 2(xx) In x С. 2(xmx) In x

A: here we have to differentiate the given function with repect to x. the solution is folowing.

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: Let F(3) = 1, F'(3) = 5, H(3) = 2, H' (3) = 2. A. If G(2) = F(z) · H(2), then G' (3) B. If G(w) =…

A:

Q: Let h(x) = f(g(x)). If: f(3) = 0, f'(42) = –5, f'(3) = 4, g(3) = 42, & gʻ (3) = 0, then h'(3) =

A:

Q: Find f if f"(x) = 0, f(0) = 2, f'(0) = 1

A:

Q: Let F(4) = 2, F'(4) = 4, H(4) = 2, H'(4) = 3. %3D A. If G(2) = F(z) · H(2), then G'(4) = %3D B. If…

A: Given : F4 = 2, F'4 = 4, H4 = 2, H'4=3

Q: Find f'(a) for -7 f(x) = V11 – 9a f'(a) = %3D

A:

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: Let fCx) 10 t 7x what is f'(×) ?

A: Given function is as below:

Q: Find f '(a). f(t) =  3t + 9 t + 8

A: Explanation of the solution is given below...

Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: f'(t) = Find f'(5). f'(5) =

A: Explanation and solutions is given below....

Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.

Q: 4. Find F'(8) if F (x) = x

A:

Q: Find f. f"(t)  = 3/√ t  ,f(4)  =20, f'(4)   =7

A: We have to find f where, f''t=3t, f4=20 and f'4=7. Integrating both sides, ∫f''t…

Q: Find f'(x) for the given f(x). (a) f(x) = x8 – 7 /7 + 9x¯7

A: f'(x)=ddx(f(x))f'(x)=ddx(x8-7x+9x-7)f'(x)=ddx(x8)-7ddx(x)+9ddx(x-7)       (ddxxn=nxn-1)

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: FIND f(x) GUEN THAT f'(x) 11 = 2ex + 4x AND f(0) =8

A: