2t + 1 f(1) = t + 3

Q: Let ƒ'(x) = ƒ'(2) = f(x) = (x³ + 4x + 8) ²

A: f(x)=(x3+4x+8)2 d dx(xn)=nxn-1d dx(constant)=0

Q: f'(c)=f(b)-f(a)/b-a .Use the Mean Value Theorem to find the number c for the function f(x)=x3-3x+2…

A:

Q: Identify the open interval(s) where f is concave up. [A] (-∞, -1) [B] (-∞, -3) U (-1,2) [C] (-1,00)…

A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: Differentiate the function. f(x) = √√In x f'(x) =

A: Given

Q: F’(-4)=

A:

Q: Find f. f ''(x) = x−2,    x > 0,    f(1) = 0,    f(7) = 0

A: I am going to solve the given problem by using some simple calculus to get the reqiuired result.

Q: Let f and g be the functions in the table below. g(x) 2 3 1 X 1 2 3 f(x) 3 1 2 (a) If F(x) =…

A:

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

A:

Q: f(x) = x2 + 2x + ( 9 divided by x) a.) Find f '(x).

A:

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

A:

Q: Let F(x) = f(xf(x)) where f(2)=4, f(8)=5, f'(2)=-3, f'(8)=7. Find F'(2)

A:

Q: Find f. f ''(x) = x−2,    x > 0,    f(1) = 0,    f(9) = 0

A:

Q: Let f(x) = Find f' (z). (z² 4) f(x) =|

A:

Q: Find and interpret f'(4) and f''(4) f(x) = 2/

A: f(x)=2x To find: f'(4) , f''(4)

Q: Find F'(x) if F(x) = Vidt 3

A:

Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: What is f(-3)? f(x) -3 -6 -3 -1 1 | 3 3. 6.

A:

Q: Let f(x) = = - (²+3)² x+5 f'(x) =

A: The given function .The aim is to find the derivative of the function.

Q: 775 7x - 8x + 5x' If f(r) find f'(z)

A:

Q: Differentiate. sec(a) R6) = 9 + sec(@) f '(8) =

A: Use quotient rule of derivative:

Q: Let f(x) :2x + 14 f-'(x) = Prev

A: To find f-1(x) Step 1-  put f(x) equals to y Step 2 - Replace y with x and x with y Step 3-…