Suppose F(3) = 5, F(4)— —13, and F'(x) = f(x). suppose G(3) = —13, G(4) = 10, and G'(x) = g(x). (8 f(x) - 7g(x)) dx = Also

Q: Given f' (x) 3x2 + 5x + 2 and f(1) = -8, find f(x).

A:

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F…

A:

Q: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). (a) h(x) = 3f(x) – 5g(x)…

A: Since, you have asked multiple parts in a single question, we would be answering only the first…

Q: f(x) = 3x³ + 7x-7 has an inverse g(x). Use g '(x) = 1 f'(g(x)) to find g '(-7).

A: The given function has an inverse function .Using to find the value of .

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

A:

Q: If (g(5x) = -15, then g'(x) = %3D %3D (b) 3 (a) 0 (c)- (d) –3

A:

Q: If fix) = 4x and g(x) = x + 9, find (f o g) 'x) and g" '(1 'x). (fo g)" 'x) =D

A:

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

A:

Q: Given f(4) = 13, f '(4) = 19, g(4) = 7, and g'(4) = – 10, find the value of h'(4) based on the…

A:

Q: Suppose that (g(x))² + 5x = x²g(x) + 15, and that g(2) = 5. Find g'(2).

A:

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: g(x)= 2f(x) +3, find g'(4) given that f'(4)=5.

A:

Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A:

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

A:

Q: 3x2 + 8x + 6 If f(x) = then: f'(x) = f'(2) =

A:

Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

A:

Q: = (F(x)). Let F(x) = f(f(x)) and G(x) You also know that f(3) = 12, f(12) = 3, f'(12) = 7, f'(3) =…

A:

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to…

A:

Q: 3 Find g(x) if g'(x) = (60x² 80x). 24x³8x² g(x) = - X and g(0) = 10.

A:

Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: f(x) = 5x³+7x-5 has an inverse g(x). Use g'(x) = g'(-5)= 1 f'(g(x)) to find g'(-5).

A:

Q: If f(x) = 6, then f '(9) =

A: Given fx=6 To find f'9

Q: If g'(6) = 6 and h'(6) = 19, find f'(6) for f(x) = f'(6)= (Simplify your answer.) () = g(x) + =…

A:

Q: If f(x) = x*e*, then f"(x) = A 12x?e* B ex(x4 + 4x³) O e*(x4 + 4x3 + 12x²) + 4x³ + 12x?) D e(x4 +…

A:

Q: Suppose F(4) = 6, F(6) = − 4, and F'(x) = f(x). 6 L² (2x²4 + 4 (x² + 4ƒ(x) + 10) dx

A: