9- 5+ 8 4 h(x) 7 6. 3 4 3 2 1 g(x) 1 3 x-values 4 1 4 3 x-values 1 9(x) If f(x) = then h(æ)' f'(3) = y-values y-values

Q: Let f(x) = (x³ + 3x + 7)3 f'(x) = f'(4) =

A: According to question given thatf(x)=(x3+3x+7)3

Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: if f(x)=2ln(6+x) f'(x)= f'(3)=

A: Here, f(x)=2 ln (6+x)

Q: Let f(x) I+5 f(x)

A:

Q: 10. (a) Given that f(x) = x² + 2 and g(x) find X - 3' f(8(x)) and state its domain. What is f(8(5))?…

A: 10). (a) Given function are fx=x2+2 and gx=2x-3. To find fgx and state its domain and also to find…

Q: f(x)=(x2+3x+7)4, then f'(x) =    f'(1) =

A: We have to find derivative

Q: If f(x) = f' (x) for all æ, then f(x) = = f" (x) for all x. True False

A: f(x) = f'(x) for all x Then f(x) = f"(x)  for all x

Q: 12x + 10 Suppose that f(r) = Evaluate each of the following: f'(-2) = 5/2 %3D f' (5) = %3D

A:

Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

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

A:

Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

A:

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that a¹ = 14, ƒ(a) = 3, ƒ'(a) = 8, ƒ' (a³) = 6…

A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

Q: Differentiate. f(x) = In (In (In (7x))] f'(x) =D

A: Find f'(X)

Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

A:

Q: Let f(x) and g(x) be functions whose graphs are shown below. Which of the following statements…

A: We are asked about the derivative of the function h given a graph of the functions f and g. Note…

Q: Determine whether the functionf is one-to-one by examining the sign of f' (x). (a)ƒ(x) = x³ + 9x2 –…

A:

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

A:

Q: If we let f(x) = 1-4x/1+4x What are.... f’(5) = f”(5) = f”’(5) =

A: we have to find derivative at that point

Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

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

A: Note some formule:

Q: If g(x)= ex, g(In7)=

A: Topic = Function

Q: if f(X)=(1-2X)^5 then find f`(X)

A:

Q: If f(x) + x (f(x))² = 34 and f(1) = 2, then f'(1) = %3D

A:

Q: 3 Let f(x) : 4x + 6

A: f(x)=34x+6=3(4x+6)-1 ddxxn=n xn-1

Q: 4 find f'(1). If f(x) = 2 +

A: To find the derivative of the given f(x) f(x)=2+5/x+4/x^2

Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

A:

Q: f(x)=5ln(5+x)

A:

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

A:

Q: The product rule states that if h(x) = f(x)g(x) then h'(x) = f'(x)g(x) + f(x)g'(x).  In other words…

A: 1) 3 is a constant, it does not depend on x, so we can take 3 out and then apply power rule on just…