4. Given that F(x) = f %3D f(1) = 2, f(2) = 3, and f'(1) = 4, f'(2) = 5, f'(3) = 6. Find F'(1).

Q: f"(x) = 4x – 2 and f'(-3) = -3 and f(-3) = –6. Find f' (x) = %3D and find f(4) :

A: f''(x)=4x-2 f'(-3)=-3 , f(-3)=-6

Q: If f' (4) = -9 and g ' (4) = -5, find (a) h'(4), if h(x) = 10f(x) + 2. %3D h'(4) = %3D (b) F'(4), if…

A: Recall: (αf(x)±βg(x))' = α f'(x)±β g'(x) ; where α and β are real numbers.

Q: If f(x) = 10x + 4, find ƒ'(10). f'(10) =

A:

Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

A:

Q: Given f"(x) = 7x + 1 and f'(-3) = -5 and f(-3) = 4. Find f'(x) and find f(2) =

A:

Q: Let f(z) = (3z + 8) %3D 6. f'(z) = (3x 8)4 6. f'(3) = (3x 8)4

A: See the details solution in below

Q: 7 4 + If f(x) = 2 + find f'(x). - 4 14 x3 Find f'(4). Find f''(x). Find f''(4).

A:

Q: Given f"(x) = 6x - 1 and f'(-3) = -3 and f(-3) = -4 Find f'(x) =  and find f(1)=

A: Given f''x = 6x-1    and f'-3 =-3                                  f-3=-4Now  We know f'x = ∫f''xdx…

Q: If f'(x)=8x' – 6x² +10x – 9 and f (1)=24, find f(x).

A:

Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

A:

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Given f''(x) = 3x – 1 and f'( – 3) = – 5 and f( – 3) = - 1. Find f'(x) and find f(4)

A:

Q: Given f"(x)=6x-6 and f'(-1) = 5 and f(-1) = 1. Find f'(x) = and find f(1) =

A: Given are the following: The second derivative function is:f′′(x)=6x−6The initial conditions…

Q: Given f''(x) = 4x – 6 and f'( – 1) = – 2 and f( – 1) = 4. Find f'(x) = and find f(2)

A:

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

A:

Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

A:

Q: If f(x)=(x– 2)² +4, find: f'(x) b f'(2) {r: f'(x)= 0} a

A:

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by…

A:

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

A:

Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

Q: Given f"(x) = 5x + 6 and f'(0) = -6 and f(0) = -5. Find f'(x) = and find f(4)

A: given  f''(x)=5x+6given  f'(0)=-6  and f(0)=-5we know ∫xndx=xn+1n+1+c

Q: Given f''(x) = 3x + 3 and f'( – 3) = 4 and f( – 3) = 5. Find f'(x) = and find f(3)

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: f" (x) = 7x – 1 and f'(-2) = -1 and f(-2) = -4. Find f'(r) = and find f(4) = %3D

A:

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

A:

Q: If g'(3) = 5 and h'(3) = 12, find f'(3) for 1 1 f(x) = g(x)+7h(x).

A: Givenf(x)=13g(x)+14h(x)g'(3)=5h'(3)=12   We are required to find f'(3)     The following formulas of…